Home
Class 12
MATHS
Evaluate the following integrals : int(1...

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

A

`tanx+x+C`

B

`tanx-x+C`

C

`-tanx+x+C`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B

`I=int(2sin^(2)x)/(2cos^(2)x)dx=inttan^(2)xdx=int(sec^(2)x-1)dx=tanx-x+C`.
Promotional Banner

Topper's Solved these Questions

  • METHODS OF INTEGRATION

    RS AGGARWAL|Exercise Exercise 13B|34 Videos
  • METHODS OF INTEGRATION

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

    RS AGGARWAL|Exercise EXERCISE 13A SHORT ANSWER QUESTIONS|92 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: (i) int((1-cos2x)/(1+cos2x))dx (ii) int((1+cos2x)/(1-cos2x))dx

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

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

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

int(1+cos^(2)x)/(1-cos2x)*dx

int(1+cos^(2)x)/(1-cos2x)dx=

Evaluate the following integrals: inte^(x)((2-sin2x)/(1-cos2x))dx