Home
Class 12
MATHS
int(0)^(oo)((pi)/(1+pi^(2)x^(2))-(1)/(1+...

`int_(0)^(oo)((pi)/(1+pi^(2)x^(2))-(1)/(1+x^(2)))logxdx` is equal to a)`-pi/2lnpi` b)0 c)`pi/2ln2` d)None of these

A

`-pi/2lnpi`

B

0

C

`pi/2ln2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

int_(-1)^(1)(x^(3)+|x|+1)/(x^(2)+2|x|+1)dx , is equal to a) ln2 b) 2 ln 2 c) 1/2 ln 2 d)None of these

int_(0)^(pi/2)(1)/(1+cot^(4)x)dx=

If x in (0,1) then the value of tan^(-1)((1-x^2)/(2x))+cos^(-1)((1-x^2)/(1+x^2)) is equal to a) -pi/2 b)0 c) pi/2 d) pi

int_(0)^(pi//2) (sin 2x )/( 1 + 2 cos^(2) x) dx is equal to

int_(-pi/4)^(pi/4)(e^(x)*sec^(2)xdx)/(e^(2x)-1) is equal to

int_(0) ^(pi//2) (dx)/( 1 + tan^(3) x) is equal to a)1 b) pi c) pi/2 d) pi/4

cos^(-1)[cos{2cot^(-1)(sqrt2-1)}] is equal to a) sqrt2-1 b) pi/4 c) (3pi)/4 d)None of these

int_(0)^(pi//2) log((cos x)/(sin x)) dx is equal to

For any integer n, the integral int_(0)^(pi)e^(cos^(2)x)cos^(3)(2n+1)xdx has the value a) pi b)1 c)0 d)None of these