Home
Class 12
MATHS
int(cosx)/(sqrt(sin^2x-2sinx+5))dx=...

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

A

`log|sinx-1+sqrt(sin^2x-2sinx+5)|+c`

B

`-log|sinx-1+sqrt(sin^2x-2sinx+5)|+c`

C

`log|sinx+1+sqrt(sin^2x+2sinx+5)|+c`

D

`-log|sinx+1+sqrt(sin^2x+2sinx+5)|+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(cosx)/(sqrt(sin^2x-sinx-3))dx=

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

int(cosx)/(sqrt(9sin^(2)x-1))dx

int(x.cosx)/(sqrt(x.sinx+cosx))dx=

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

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

int(cosx)/(3sin^2x-4sinx+1)dx=

int_(0)^((pi)/2)(sinx+cosx)/(sqrt(1+sin2x))dx=

int(sinx-cosx)/(sqrt(sin2x-(1)/(2)))dx=

int(sinx+cosx)/(sqrt(1+sin2x))dx