Home
Class 12
MATHS
int(0)^(pi//2)(cos x)/((3+sin x)(4+sin x...

`int_(0)^(pi//2)(cos x)/((3+sin x)(4+sin x))dx=`

A

`log((4)/(3))`

B

`log((16)/(15))`

C

`log((15)/(16))`

D

`log((3)/(4))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS (MHT-CET EXAM QUESTIONS))|12 Videos

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)|24 Videos

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos

Similar Questions

Explore conceptually related problems

The value of the integral int_(0)^(pi/2)(cos x)/((2+sin x)(4+sin x))dx equals

int_(0)^(pi//2)(sin x)/((sin x + cos x)^(3))dx=

int_(0)^(pi//2)(sin x - cos x)/(1-sin x cos x)dx=

int_(0)^( pi/2)((sin x cos x) /(1+sin 4x ))dx

int_(0)^(pi//2)(sin x.cos x)/(1+sin^(4)x)dx=

int_(0)^(pi//2) x sin x cos x dx

int_(0)^( pi/2)(sin x-cos x)/(1+sin x*cos x)*dx