digraph physicsDerivation { 
overlap = false;
label="derivation: work and force and energy
https://allofphysiscs.com";
fontsize=12;
0006093238 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declareinitialexpression.png",labelloc=b];
0006093238 -> generated_expression_1590774089_24293cf06a35005c0159e36bf7854a10fb7953d607fd7a308581e19b46590ab5;
generated_expression_1590774089_24293cf06a35005c0159e36bf7854a10fb7953d607fd7a308581e19b46590ab5 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1590774089_24293cf06a35005c0159e36bf7854a10fb7953d607fd7a308581e19b46590ab5.png",labelloc=b];
0002756830 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_integrate.png",labelloc=b];
generated_expression_1590774089_24293cf06a35005c0159e36bf7854a10fb7953d607fd7a308581e19b46590ab5 -> 0002756830;
generated_expression_1590774089_24293cf06a35005c0159e36bf7854a10fb7953d607fd7a308581e19b46590ab5 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1590774089_24293cf06a35005c0159e36bf7854a10fb7953d607fd7a308581e19b46590ab5.png",labelloc=b];
0002756830 -> generated_expression_5542528160_cd4e3cdf843fae54450778017ef299a2b0e6655431a92da69600a8d420978aa9;
generated_expression_5542528160_cd4e3cdf843fae54450778017ef299a2b0e6655431a92da69600a8d420978aa9 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5542528160_cd4e3cdf843fae54450778017ef299a2b0e6655431a92da69600a8d420978aa9.png",labelloc=b];
0005622476 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_evaluatedefiniteintegral.png",labelloc=b];
generated_expression_5542528160_cd4e3cdf843fae54450778017ef299a2b0e6655431a92da69600a8d420978aa9 -> 0005622476;
generated_expression_5542528160_cd4e3cdf843fae54450778017ef299a2b0e6655431a92da69600a8d420978aa9 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5542528160_cd4e3cdf843fae54450778017ef299a2b0e6655431a92da69600a8d420978aa9.png",labelloc=b];
0005622476 -> generated_expression_3512166162_1f52e0700cedbadd3fa9a67cf81463f29b0cc03ce6c728d1b1d3f0fcfcd930d5;
generated_expression_3512166162_1f52e0700cedbadd3fa9a67cf81463f29b0cc03ce6c728d1b1d3f0fcfcd930d5 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_3512166162_1f52e0700cedbadd3fa9a67cf81463f29b0cc03ce6c728d1b1d3f0fcfcd930d5.png",labelloc=b];
0006287856 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_substituteLHSofexpr1intoexpr2.png",labelloc=b];
generated_expression_5345738321_ca68a59c36c3f075c4a459a042ca7d8f639b88fa6d1d6664748f582f121a86cc -> 0006287856;
generated_expression_5345738321_ca68a59c36c3f075c4a459a042ca7d8f639b88fa6d1d6664748f582f121a86cc [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5345738321_ca68a59c36c3f075c4a459a042ca7d8f639b88fa6d1d6664748f582f121a86cc.png",labelloc=b];
generated_expression_3512166162_1f52e0700cedbadd3fa9a67cf81463f29b0cc03ce6c728d1b1d3f0fcfcd930d5 -> 0006287856;
generated_expression_3512166162_1f52e0700cedbadd3fa9a67cf81463f29b0cc03ce6c728d1b1d3f0fcfcd930d5 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_3512166162_1f52e0700cedbadd3fa9a67cf81463f29b0cc03ce6c728d1b1d3f0fcfcd930d5.png",labelloc=b];
0006287856 -> generated_expression_8953094349_aa0b449374273ba01d2c9e01b955610defcc8745381e5759648f2b56da8a9d6f;
generated_expression_8953094349_aa0b449374273ba01d2c9e01b955610defcc8745381e5759648f2b56da8a9d6f [shape=ellipse, color=black,label="",image="/code/static/generated_expression_8953094349_aa0b449374273ba01d2c9e01b955610defcc8745381e5759648f2b56da8a9d6f.png",labelloc=b];
0006311864 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_changethreevariablesinexpression.png",labelloc=b];
generated_expression_5611024898_8631b82b1314ad8431795823ea1ded62612d1d53adb263ce2fc9776b978f81fc -> 0006311864;
generated_expression_5611024898_8631b82b1314ad8431795823ea1ded62612d1d53adb263ce2fc9776b978f81fc [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5611024898_8631b82b1314ad8431795823ea1ded62612d1d53adb263ce2fc9776b978f81fc.png",labelloc=b];
0006311864 -> generated_expression_3253234559_988755d2b2a735180f541d87d3a35743ed4f1e67f8005474543ab27b18f044b0;
generated_expression_3253234559_988755d2b2a735180f541d87d3a35743ed4f1e67f8005474543ab27b18f044b0 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_3253234559_988755d2b2a735180f541d87d3a35743ed4f1e67f8005474543ab27b18f044b0.png",labelloc=b];
generated_feed_3183197515_3565225c19d3bc5255ea3e05a9cf4c4a30f4c522867bda2401a3d7709c0414a7 -> 0006311864;
generated_feed_3183197515_3565225c19d3bc5255ea3e05a9cf4c4a30f4c522867bda2401a3d7709c0414a7 [shape=box, color=red,label="",image="/code/static/generated_feed_3183197515_3565225c19d3bc5255ea3e05a9cf4c4a30f4c522867bda2401a3d7709c0414a7.png",labelloc=b];
generated_feed_5398681502_4c94485e0c21ae6c41ce1dfe7b6bfaceea5ab68e40a2476f50208e526f506080 -> 0006311864;
generated_feed_5398681502_4c94485e0c21ae6c41ce1dfe7b6bfaceea5ab68e40a2476f50208e526f506080 [shape=box, color=red,label="",image="/code/static/generated_feed_5398681502_4c94485e0c21ae6c41ce1dfe7b6bfaceea5ab68e40a2476f50208e526f506080.png",labelloc=b];
generated_feed_6701855578_8c90cb56cd9a374717737a20394a845377a6243244bbedac23ae8a296f02d270 -> 0006311864;
generated_feed_6701855578_8c90cb56cd9a374717737a20394a845377a6243244bbedac23ae8a296f02d270 [shape=box, color=red,label="",image="/code/static/generated_feed_6701855578_8c90cb56cd9a374717737a20394a845377a6243244bbedac23ae8a296f02d270.png",labelloc=b];
generated_feed_3652511721_4c94485e0c21ae6c41ce1dfe7b6bfaceea5ab68e40a2476f50208e526f506080 -> 0006311864;
generated_feed_3652511721_4c94485e0c21ae6c41ce1dfe7b6bfaceea5ab68e40a2476f50208e526f506080 [shape=box, color=red,label="",image="/code/static/generated_feed_3652511721_4c94485e0c21ae6c41ce1dfe7b6bfaceea5ab68e40a2476f50208e526f506080.png",labelloc=b];
generated_feed_8111389082_2d711642b726b04401627ca9fbac32f5c8530fb1903cc4db02258717921a4881 -> 0006311864;
generated_feed_8111389082_2d711642b726b04401627ca9fbac32f5c8530fb1903cc4db02258717921a4881 [shape=box, color=red,label="",image="/code/static/generated_feed_8111389082_2d711642b726b04401627ca9fbac32f5c8530fb1903cc4db02258717921a4881.png",labelloc=b];
generated_feed_9623791270_18ac3e7343f016890c510e93f935261169d9e3f565436429830faf0934f4f8e4 -> 0006311864;
generated_feed_9623791270_18ac3e7343f016890c510e93f935261169d9e3f565436429830faf0934f4f8e4 [shape=box, color=red,label="",image="/code/static/generated_feed_9623791270_18ac3e7343f016890c510e93f935261169d9e3f565436429830faf0934f4f8e4.png",labelloc=b];
0008305798 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_substituteLHSofexpr1intoexpr2.png",labelloc=b];
generated_expression_8953094349_aa0b449374273ba01d2c9e01b955610defcc8745381e5759648f2b56da8a9d6f -> 0008305798;
generated_expression_8953094349_aa0b449374273ba01d2c9e01b955610defcc8745381e5759648f2b56da8a9d6f [shape=ellipse, color=black,label="",image="/code/static/generated_expression_8953094349_aa0b449374273ba01d2c9e01b955610defcc8745381e5759648f2b56da8a9d6f.png",labelloc=b];
generated_expression_3253234559_988755d2b2a735180f541d87d3a35743ed4f1e67f8005474543ab27b18f044b0 -> 0008305798;
generated_expression_3253234559_988755d2b2a735180f541d87d3a35743ed4f1e67f8005474543ab27b18f044b0 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_3253234559_988755d2b2a735180f541d87d3a35743ed4f1e67f8005474543ab27b18f044b0.png",labelloc=b];
0008305798 -> generated_expression_9413699705_2d20c825ea5c51b04673893b1caf9db50e65067e8a0d5d266570e320ec94ce13;
generated_expression_9413699705_2d20c825ea5c51b04673893b1caf9db50e65067e8a0d5d266570e320ec94ce13 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9413699705_2d20c825ea5c51b04673893b1caf9db50e65067e8a0d5d266570e320ec94ce13.png",labelloc=b];
0003538142 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_simplify.png",labelloc=b];
generated_expression_9413699705_2d20c825ea5c51b04673893b1caf9db50e65067e8a0d5d266570e320ec94ce13 -> 0003538142;
generated_expression_9413699705_2d20c825ea5c51b04673893b1caf9db50e65067e8a0d5d266570e320ec94ce13 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9413699705_2d20c825ea5c51b04673893b1caf9db50e65067e8a0d5d266570e320ec94ce13.png",labelloc=b];
0003538142 -> generated_expression_4811121942_e93df23d80c9fc8f7348a0a29a3fed4fabadcfb8c2059c2a80714cedcfcfcf2e;
generated_expression_4811121942_e93df23d80c9fc8f7348a0a29a3fed4fabadcfb8c2059c2a80714cedcfcfcf2e [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4811121942_e93df23d80c9fc8f7348a0a29a3fed4fabadcfb8c2059c2a80714cedcfcfcf2e.png",labelloc=b];
0001136729 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_substituteLHSoftwoexpressionsintoexpression.png",labelloc=b];
generated_expression_4811121942_e93df23d80c9fc8f7348a0a29a3fed4fabadcfb8c2059c2a80714cedcfcfcf2e -> 0001136729;
generated_expression_4811121942_e93df23d80c9fc8f7348a0a29a3fed4fabadcfb8c2059c2a80714cedcfcfcf2e [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4811121942_e93df23d80c9fc8f7348a0a29a3fed4fabadcfb8c2059c2a80714cedcfcfcf2e.png",labelloc=b];
generated_expression_4928007622_ddd83b734c260a9aa38fc1428a2b517805a2e99cf85dc04f0d491a73c2069ef2 -> 0001136729;
generated_expression_4928007622_ddd83b734c260a9aa38fc1428a2b517805a2e99cf85dc04f0d491a73c2069ef2 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4928007622_ddd83b734c260a9aa38fc1428a2b517805a2e99cf85dc04f0d491a73c2069ef2.png",labelloc=b];
generated_expression_7676652285_723457a9eb1f5eb5c0dd16a076b7f6001dfaf78d5fc2e6a35cb9ed3ffea75c41 -> 0001136729;
generated_expression_7676652285_723457a9eb1f5eb5c0dd16a076b7f6001dfaf78d5fc2e6a35cb9ed3ffea75c41 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_7676652285_723457a9eb1f5eb5c0dd16a076b7f6001dfaf78d5fc2e6a35cb9ed3ffea75c41.png",labelloc=b];
0001136729 -> generated_expression_3360172339_dc0af0d59b0b242c7c58c4dc634749172439dbdcafa2cf51f4cb0f430ec7b474;
generated_expression_3360172339_dc0af0d59b0b242c7c58c4dc634749172439dbdcafa2cf51f4cb0f430ec7b474 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_3360172339_dc0af0d59b0b242c7c58c4dc634749172439dbdcafa2cf51f4cb0f430ec7b474.png",labelloc=b];
0004403236 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declarefinalexpression.png",labelloc=b];
generated_expression_3360172339_dc0af0d59b0b242c7c58c4dc634749172439dbdcafa2cf51f4cb0f430ec7b474 -> 0004403236;
generated_expression_3360172339_dc0af0d59b0b242c7c58c4dc634749172439dbdcafa2cf51f4cb0f430ec7b474 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_3360172339_dc0af0d59b0b242c7c58c4dc634749172439dbdcafa2cf51f4cb0f430ec7b474.png",labelloc=b];
}