If f(x)=int(x^(2)+sin^(2)x)/(1+x^(2))sec...

If `f(x)=int(x^(2)+sin^(2)x)/(1+x^(2))sec^(2)xdx and f(0)=0,` then `f(1)=`

A

`1- pi/4`

B

`pi/4`

C

`tan 1- (pi)/(4)`

D

`tan 1+1`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

f(x)=int(x^(2)+sin^(2)x)/(1+x^(2))sex^(2)xdx and f(0)=0then f(1)=

Let f(x)=int(1)/((1+x^(2))^(3//2))dx and f(0)=0 then f(1)=

Let f(x),=int(x^(2))/((1+x^(2))(1+sqrt(1+x^(2))))dx and f(0),=0 then f(1) is

If f(x)=int(3x^(2)+1)/((x^(2)-1)^(3))dx and f(0)=0, then the value of (2)/(f(2))| is

If f(x)=inte^(x)(tan^(-1)x+(2x)/((1+x^(2))^(2)))dx,f(0)=0 then the value of f(1) is

If f(x)+int{f(x)}^(-2)dx=0 and f(1)=0 then f(x) is

If F(x)=int((1+sin x)/(1+cos x))dx and F(0)=0 then the value of F(pi/2) is

If F(x)=int(x+sin x)/(1+cos x)dx and F(0)=0 then the value of f((pi)/(2)) is

If f''(x) = sec^(2) x and f (0) = f '(0) = 0 then:

A function y=f(x) satisfies f''(x)=-(1)/(x^(2))-pi^(2)sin(pi x)f'(2)=pi+(1)/(2) and f(1)=0 then value of f((1)/(2)) is