An specific example....

I don't if it is in syllabus... But sir taught it...

F(a)=_aâˆ«^bf(x,a)
F'(a)=_aâˆ«^bÎ´f(x,a)/Î´a

Try this out in evaluating ₀âˆ«¹(x^a-1)/lnx

2 Answers

yes , this is modified libnitzzzz theorem

& this is one of the most common example of it,

just differentiate wrt a & then integrate , u will get

I = ln(a+1)

thanx priyam

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