Home
Class 12
MATHS
int(dx)/(a^(2)sin^(2)x+b^(2)cos^(2)x)=...

`int(dx)/(a^(2)sin^(2)x+b^(2)cos^(2)x)=`

A

`(1)/(ab)Tan^(-1)((a tanx)/(b))+c`

B

`Tan^(-1)((a tanx)/(b))+c`

C

`Tan^(-1)((b tanx)/(b))+c`

D

`Tan^(-1)((btanx)/(a))+c`

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 x^(2) sin^(2) x dx =

int sin^(2) x cos^(2) x dx =

Evaluate the definite integrals int_(0)^(pi)(sin^(2)x/2-cos^(2)x/2)dx

int_(-pi//2)^(pi//2) sin^(2) x cos^(2) x(sin x + cos x) dx=

int ( sin^(3)x+cos^(3)x)/(sin^(2)x cos^(2)x)dx=

If int_(0)^(pi//2) sin^(4) x cos^(2)x dx = (pi)/(32) then int_(0)^(pi//2) cos^(4) x sin^(2) x dx=

Evaluate the integrals . int_(0)^(pi//2) (sin^(2)x-cos^(2)x)/(sin^(3)x+cos^(3)x)dx

int_(0)^(pi//4) (sin^(2) x cos^(2) x)/((sin^(3) x + cos^(3)x)^(2))dx=