Home
Class 12
MATHS
int (-asin x+ b cos x)/(b sin x+a cos x)...

`int (-asin x+ b cos x)/(b sin x+a cos x)dx=`

A

`log |b +a tan x|+c`

B

`(1)/(a+b) log |a cos x + b sin x|+c`

C

`log |b cos x-a sin x|+c`

D

`log |a cos x+ b sin x|+c`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|132 Videos

  • INDEFINITE INTEGRATION

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

  • INDEFINITE INTEGRATION

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

Evaluate int_(0)^(pi//2) (a sin x+b cos x)/(sin x+cos x)dx

int (9 cos x - sin x)/(4 sin x +5 cos x)dx

int (cos x)/( sin x log sin x)dx=

int_(0)^(pi//2)(200 sin x + 100 cos x)/(sin x + cos x) dx =

int (1)/(sin x - cos x) dx =

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

int (sin x)/(sin x - cos x )dx =

int(2 sin x+3 cos x+4)/(3 sin x+4 cos x+5)dx.