Home
Class 12
MATHS
Evaluate: int(cosx)/(sqrt(sin^2x-2sinx-3...

Evaluate: `int(cosx)/(sqrt(sin^2x-2sinx-3))\ dx`

Text Solution

Verified by Experts

The correct Answer is:
`:.I=log|(sin x-1)+sqrt(sin^(2)x-2sinx-3)|+C`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 1|15 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 2|15 Videos
  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|17 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

int(cosx)/(sqrt(sin^2x-sinx-3))dx=

int(cosx)/(sqrt(sin^2x-2sinx+5))dx=

Evaluate: (i) int(e^x)/(sqrt(5-4\ e^x-e^(2x)))\ dx (ii) int(cosx)/(sqrt(sin^2x-2sinx-3))\ dx

Evaluate: int(cosx)/(sin^2x+4sinx+5)\ dx

Evaluate: int(sinx+cosx)/(sqrt(1+sin2x))\ dx

Evaluate: int(cosx-sinx)/(sqrt(8-sin2x))\ dx

Evaluate int(cosx)/((sin^(2)x+4sinx+5))dx .

Evaluate: int(sinx-cosx)/(sqrt(sin2x))\ dx

Evaluate int cosx/(sqrt(25-sin^2x)) dx

Evaluate int((sinx+cosx)dx)/(sqrt(3+sin2x)).