Home
Class 12
MATHS
int(0)^(pi//2)(sin^(1000)xdx)/(sin^(1000...

`int_(0)^(pi//2)(sin^(1000)xdx)/(sin^(1000)x+cos^(1000)x)` is equal to

A

1000

B

1

C

`pi/2`

D

`pi/4`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

int_(0)^(pi//2)(sin^(3//2)x)/(sin^(3//2)x+cos^(3//2)x)dx=

Evaluate int_(0)^(pi/2)(sin^(4)x)/(sin^(4)x+cos^(4)x)dx

int (4)/(sin^2 x cos^(2) x)dx is equal to :

int_(0)^(pi//2) log sin x dx =

int_(0)^(pi//2)(sin^(7//2)x)/((sin^(7//2)x + cos^(7//2)x))dx=

int_(pi//6)^(pi//3) (sin^(3) x)/(sin^(3) x + cos^(3) x) dx=