Home
Class 12
MATHS
int(cosx)/(cosx-sinx)dx=...

`int(cosx)/(cosx-sinx)dx=`

A

`(1)/(2)log|cos x-sinx|-(1)/(2)x+c`

B

`-(1)/(2)log|cos x+sinx|+(1)/(2)x+c`

C

`-(1)/(2)log|cos x-sinx|+(1)/(2)x+c`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|109 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-1)|4 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|164 Videos

  • HYPERBOLIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 {SPECIAL TYPE QUESTIONS} SET - 4|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

Similar Questions

Explore conceptually related problems

int(cosx)/(cosx+sin x)dx=

Evaluate the following integrals int(cosx)/(3cosx+4sinx)dx

int(dx)/(cosx-sinx)=

Evaluate the following inegrals inte^(x)(cosx-sinx)dx

int(sinx)/(sinx-cosx)dx=

int(cosx)/(3 cosx+ 4 sin x)dx=

Evaluate the following integrals. int(1)/(4cosx+3sinx)dx

Evaluate the following integrals. int(1)/(3cosx+4sinx+6)dx

Evaluate the following integrals int(dx)/(cosx+sinx)