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If (d(f(x)))/(dx) = g(x) AA x in [a, b] ...

If `(d(f(x)))/(dx) = g(x) AA x in [a, b]` then `int_(a)^(b)f(x).g(x)dx` is equal to :

A

`f(b)-f(a)`

B

`phi(b)-phi(a)`

C

`([f(b)]^(2)-[f(a)]^(2))/(1+e^(x))`

D

`([phi(b)]^(2)-[phi(a)]^(2))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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