Home
Class 12
MATHS
If f(x)=int((x^(2)+sin^(2)x))/(1+x^(2))s...

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//4-1`

C

`tan1-pi//4`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)=int(5x^(8)+7x^(6))/((x^(2)+1+2x^(7))^(2))dx , and f(0)=0 , then the value of f(1) is a) -1//2 b) 1//4 c) 1//2 d) -1//4

If int(log_(e)(1+sin^(2)x))/(cos^(2)x)dx=f(x)+C , then the value of f(0) is a)0 b)1 c)2 d)3

If f (x)= int _(1) ^(x) sin ^(2) ((t)/(2)) dt, then the value of lim _(x to 0) (f (pi +x ) -f (pi))/(x) is equal to

If f(x)=int_(1)^(x)(logt)/(1+t+t^(2))dt,AAxge1 then f(x) a) f(1/x) b) f((1)/(x^(2))) c) f(x^(2)) d) -f(1/x)