Home
Class 12
MATHS
The value of , int(sinx+cos x)/(9+16 sin...

The value of , `int(sinx+cos x)/(9+16 sin 2x)dx` is

A

`1/40 log |(5+4(sin x-cos x))/(5-4(sin x- cos x))|+C`

B

` log |(5+4(sin x-cos x))/(5-4(sin x- cos x))|+C`

C

`1/10 log |(5+4(sin x+cos x))/(5-4(sin x+ cos x))|+C`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|20 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|5 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 5|10 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(sin x+cos x)/(9+16sin2x)

int(4sin x+4cos x)/(9+16sin2x)dx

The value of the int(sinx+cosx)/(3+sin2x)dx is equal to

The value of int(sinx +cosx)/(3+sin2x)dx , is

The value of int(sinx-cosx)/(sqrt(sin2x)dx is equal to

Evaluate :int(sin x+cos x)/(9+16sin2x)dx

Evaluate: int(sin x+cos x)/(9+16sin2x)dx

Evaluate i) int(sinx+cosx)/(9+16sin2x)dx

int(cos x)/(9-sin^(2)x)dx