Home
Class 12
MATHS
If intf(x)sinxcosxdx=(1)/(2(b^(2)-a^(2))...

If `intf(x)sinxcosxdx=(1)/(2(b^(2)-a^(2)))log{f(x)}+C` then f(x) is equal to

A

(a) `2/((b^(2)-a^(2))sin2x)`

B

(b) `2/(ab""sin2x)`

C

(c) `2/((b^(2)-a^(2))cos2x)`

D

(d) `2/(abcos2x)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x) = (x-1)/(x+1) , then f(2x) is equal to

If f(x) = 1/(1-x) , then f(f(f(x))) is equal to

If intf(x)/(logcosx)dx=-log(logcosx)+c , then f(x) is equal to

If intf(x)cosxdx=1/2[f(x)]^(2)+c," then " f(pi/2) is

If f(x)=(2x-1)/(x+5),xne-5 , then f^(-1)(x) is equal to

If intf(x)*cosxdx=1/2{f(x)}^2+c , then f(0)=

If intf(x)dx=f(x), then int{f(x)}^2dx is equal to

If f(x)=cot^(-1)((x^(x)-x^(-x))/(2)) then f'(1) equals

If : f(x)=(1)/(sqrt(x^(2)+a^(2))+sqrt(x^(2)+b^(2)))" then: "f'(x)=

If int(1)/(f(x))dx=log[f(x)]^(2)+c , then f(x)=