QIf the tangent to the curve y=f(x) forms angle pi/3 and pi/4 with X axis at points x=a and x=b respectively then evaluate
a to b ∫ f'(x)f" (x) dx
My method:::
Integating by parts taking f'(x) as first function ,
I =[f '2(x)]ab- ∫f " (x).f ' (x)
=>2I= f '2(x)
=>2I = ( f '(b) - f '(a) )2
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6 Answers
62=>2I = ( f '(b) - f '(a) )2
this is wrong
it should be
=>2I = ( f '(b) 2- f '(a) 2)
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