Home
Class 12
MATHS
Let f(x)=(sin^(2)pix)/(1+pi^(x)) Then,...

Let `f(x)=(sin^(2)pix)/(1+pi^(x))`
Then, `int(f(x)+f(-x))dx` is equal to :a)0 b)`x+c` c)`x/2-(cospix)/(2pi)+c` d)`x/2-(sin2pix)/(4pi)+c`

A

0

B

`x+c`

C

`x/2-(cospix)/(2pi)+c`

D

`x/2-(sin2pix)/(4pi)+c`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)= sqrt((x-sin x)/(x+cos^(2)x)) , then lim_(x rarr oo) f(x) is equal to a)1 b)2 c) (1)/(2) d)0

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

If A=int_(0)^(pi)(cosx)/(x+2)^(2)dx , then int_(0)^(pi//2)(sin2x)/(x+1)dx is equal to

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

If f(x)=2x^(2)+bx+c and f(0)=3 and f(2)=1 , then f(1) is equal to a)1 b)2 c)0 d) 1/2

The value of int_(-pi)^(pi)("sin"^(2)x)/(1+7^(x))dx is a) 7^(x) b) pi c) (pi)/(2) d) 2^(pi)

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) = |x-2| + |x+1| - x , then f'(-10) is equal to a)-3 b)-2 c)-1 d)0

If int_(-1)^(4) f(x) dx=4 and int_(2)^(4) (3-f(x))dx=7 , then int_(-1)^(2) f(x)dx is a)1 b)2 c)3 d)5

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