Home
Class 12
MATHS
int(sin2x)/(3+2sinx)^2dx=...

`int(sin2x)/(3+2sinx)^2dx=`

A

`(1)/(2)log|3+2sinx|+(3)/(2(3+2sinx))+c`

B

`(1)/(2)log|3+2sinx|-(3)/(2(3+2sinx))+c`

C

`(1)/(2)log|3+2sinx|+(2)/(3(3+2sinx))+c`

D

`(1)/(2)log|3+2sinx|-(2)/(3(3+2sinx))+c`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    NIKITA PUBLICATION|Exercise MCQ|559 Videos
  • LINE

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|127 Videos

Similar Questions

Explore conceptually related problems

int (sin2x)/(sinx )dx = ?

int(sin2x)/(3-2 cos2x)dx

int(2sin x)/(3+sin2x)|dx

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

Evaluate : int(sinx)/(sin 2x)dx

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

Evaluate : int(sinx-cosx)/(3+2sin2x)dx .

The integral I=int(2sinx)/((3+sin2x))dx simplifies to (where, C is the constant of integration)

int(cos^(2)x)/(1+sinx)dx+int(sin^(2)x)/(1-cosx)dx=