I have: I(a)= the integral from 0 to 1 of (x^(a)-x^(b))/(ln(x)) where a>b>-1. How would I show that I'(a)=1/(a+1)?
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Originally Posted by James234 I have: I(a)= the integral from 0 to 1 of (x^(a)-x^(b))/(ln(x)) where a>b>-1. How would I show that I'(a)=1/(a+1)? We have: so: Now differentiating under the integral gives: RonL
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