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

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

A

`(1)/(2)[x+log|sinx-cosx|]+c`

B

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

C

`log|sinx-cosx|-x+c`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
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(1)/(sinx-cosx)dx

int(dx)/(4sinx+3cosx)=

int (x+sinx)/(1+cosx)dx =

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

int_(0)^(pi//2)(4sinx+3cosx)/(sinx+cosx)dx=

I : int_(0)^(pi//2)(sqrtcotx)/(sqrt(tanx)+sqrt(cotx))dx=(pi)/(4) II : int_(0)^(pi//2)(2sinx+3cosx)/(sinx+cosx)dx=(pi)/(4)

int(3cosx+2 sin x)/(4 sinx+5 cos x)dx=

int(x-sinx)/(1+cosx)dx= tan((x)/(2))+plog|sec((x)/(2))|+c rArr p=