Home
Class 12
MATHS
int(0)^(pi//2)(sin^(3//2)x)/((sin^(3//2)...

`int_(0)^(pi//2)(sin^(3//2)x)/((sin^(3//2)x+cos^(3//2)x))dx=(pi)/(4)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    RS AGGARWAL|Exercise Exercise 16D|17 Videos

  • DEFINITE INTEGRALS

    RS AGGARWAL|Exercise Objective Questions|73 Videos

  • DEFINITE INTEGRALS

    RS AGGARWAL|Exercise Exercise 16B|50 Videos

  • CROSS,OR VECTOR, PRODUCT OF VECTORS

    RS AGGARWAL|Exercise Exercise 24|26 Videos

  • DETERMINANTS

    RS AGGARWAL|Exercise Objective Questions|29 Videos

Similar Questions

Explore conceptually related problems

Prove that : int_(0)^(pi//2) (sin^(3)x)/(sin^(3) x+ cos^(3)x)dx =(pi)/(4)

Evaluate the following integral: int_0^(pi//2)(sin^(3//2)\ )/(sin^(3//2)x+cos^(3//2)x)dx

int _(0)^(pi//2) (sin^(3//2)x)/(sin^(3//2)x+cos^(3//2)x)dx is equal to

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

What is int_(0)^(pi//2) (sin^(3)x)/(sin^(3)x + cos^(3)x) dx ?

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

int_(-pi//2)^(pi//2)(sin^(4)x)/(sin^(4)x + cos^(4)x)dx=

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

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

The value of int_(0)^(pi//2) (sin^(3)x cos x)/(sin^(4)x+ cos^(4)x )dx is