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Notes for this derivation:
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Index  Inference Rule  Input latex  Feeds latex  Output latex  step validity  dimension check  unit check  notes 

1  declare initial expr 



no validation is available for declarations 
1590774089:

1590774089:


2  integrate 



no check performed 
1590774089:
5542528160: 
1590774089:
5542528160: 

3  evaluate definite integral 



valid 
5542528160:
3512166162: 
5542528160:
3512166162: 

4  substitute LHS of expr 1 into expr 2 



LHS diff is pdg4202  pdg6789 RHS diff is pdg5156*pdg9140*(1  pdg4037) 
3512166162:
5345738321: 8953094349: 
3512166162:
5345738321: 8953094349: 

5  change three variables in expr 



LHS diff is pdg1943  pdg4037 RHS diff is (pdg2473**2  pdg5153**2)/(2*pdg9140) 
5611024898:
3253234559: 
5611024898:
3253234559: 

6  substitute LHS of expr 1 into expr 2 



valid 
3253234559:
8953094349: 9413699705: 
3253234559:
8953094349: 9413699705: 

7  simplify 



valid 
9413699705:
4811121942: 
9413699705:
4811121942: 

8  substitute LHS of two expressions into expr 



failed 
7676652285:
4928007622: 4811121942: 3360172339: dimensions are consistent 
7676652285:
4928007622: 4811121942: 3360172339: N/A 

9  declare final expr 



no validation is available for declarations 
3360172339:
dimensions are consistent 
3360172339:
N/A 