Home
Class 12
MATHS
int(1)/(sqrt(cos^(4)-x-cos^(2)x sin^(2)x...

`int(1)/(sqrt(cos^(4)-x-cos^(2)x sin^(2)x))dx=`

A

`Sinh^(-1)(tanx)+c`

B

`-Sinh^(-1)(tanx)+c`

C

`-Cos^(-1)(tanx)+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 (1)/(sqrt(sin^(2) x cos^(2) x - sin^(4) x)) dx =

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

Show that int_(0)^(pi/4)(dx)/(cos^(4)x - cos^(2)x sin^(2) x + sin^(4) x) = pi/2

Show that int_(0)^(pi//4)(dx)/(cos^(4)x - cos^(2)x sin^(2) x + sin^(4)x) = (pi)/(2)

int (cos^(8)x-sin^(8)x)/(1-2 cos^(2)sin^(2)x)dx=

int (3 cos^(2)x+4 sin^(2)x)/(cos^(2)xsin^(2)x)dx=

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

int_(0)^(pi//2)(1)/(4 cos^(2)x+9sin^(2)x)dx=

int_(0)^(pi//2)(1)/(4cos^(2)x+9sin^(2)x)dx=