Home
Class 12
MATHS
Evaluate the following integrals: ints...

Evaluate the following integrals:
`intsinxsqrt(1+cos2x)dx`

Text Solution

Verified by Experts

The correct Answer is:
`(sin^(2)x)/(sqrt(2))+C`

`I=intsinx*sqrt(2cos^(2)x)dx=sqrt(2)intsinxcosxdx.Put sinx=t`.
Promotional Banner

Topper's Solved these Questions

  • METHODS OF INTEGRATION

    RS AGGARWAL|Exercise Exercise 13C|87 Videos
  • METHODS OF INTEGRATION

    RS AGGARWAL|Exercise Objective Questions Ii|56 Videos
  • METHODS OF INTEGRATION

    RS AGGARWAL|Exercise Objective Questions I|101 Videos
  • MATRICES

    RS AGGARWAL|Exercise Exercise 5F|21 Videos
  • PROBABILITY

    RS AGGARWAL|Exercise Exercise 29 B|2 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integrals. int sin x sqrt( 1 - cos 2x)dx

Evaluate the following integrals : int(1-cos2x)/(1+cos2x)dx

Evaluate the following integrals : int(sin^(2)x)/(1+cos x)dx

Evaluate the following integrals: int(cos x)/(1-cos x)dx

Evaluate the following integrals: int(cos2x)/(cosx)dx

Evaluate the following integrals: int (1-sinx )/(x+cos x) dx

Evaluate the following integrals: int(sin^(-1) sqrt(x)+cos^(-1)sqrt(x))dx

Evaluate the following integrals int sqrt((cos x- cos^(3)x)/((1-cos^(3)x)))dx

Evaluate the following integrals: int (1)/(sin^(2)x cos^(2)x) dx

Evaluate the following integrals : int(1)/(1+cos2x)dx