Home
Class 12
MATHS
The value of int (cos^3x+cos^5)/(sin^2x+...

The value of `int (cos^3x+cos^5)/(sin^2x+sin^4x)dx`

A

` sin x - 6 tan ^( -1) (sin x ) + c `

B

` sin x - 2 (sin x ) ^( -1) + c `

C

` sin x - 2 (sin x ) ^( -1 ) - 6 tan ^( -1) (sin x ) + c `

D

` sin x - 2 (sin x ) ^( -1) + 5 tan ^(-1) (sin x ) + c `

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE MAIN (ARCHIVE)|26 Videos

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos

  • INVERSE TRIGONOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|10 Videos

Similar Questions

Explore conceptually related problems

int(5cos^3x+7sin^3x)/(3sin^2xcos^2x)dx

Evaluate: int(cos^3x)/(sin^2x+sinx)dx

Evaluate: int(cos^3x)/(sin^2x+sinx)dx

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

The value of int(cos^4xdx)/(sin^3x(sin^5x+cos^5x)^(3//5))=-(1)/(2)(1+g(x))^(2//5)+C where g (x) is :

The value of int(sin^(2)xcos^(2)x)/((sin^(3)x+cos^(3)x)^(2))dx , is

int(sinxcosx)/(sin^4x+cos^4x)dx

The value of int_(0)^(pi//2) (sin^(3)x cos x)/(sin^(4)x+ cos^(4)x )dx is

Evaluate: int(cos4x-cos2x)/(sin4x-sin2x)dx

Evaluate: (i) int(sin^3x-cos^3x)/(sin^2xcos^2x)\ dx (ii) int(5cos^3x+6sin^3x)/(2sin^2xcos^2x)\ dx