Home
Class 12
MATHS
If I(1)=int(0)^(pi//2) x sin x dx and I...

If `I_(1)=int_(0)^(pi//2) x sin x dx and I_(2) = int_(0)^(pi//2) x cos x dx`,then which one of the following is true ?

A

`I_(1)+I_(2)=(pi)/(2)`

B

`I_(1)=(pi)/(2)I_(2)`

C

`I_(1)+I_(2)=0`

D

`I_(1)=I_(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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

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

If I_(1)=int_(0)^(pi//2)log (sin x)dx and I_(2)=int_(0)^(pi//2)log (sin 2x)dx , then

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

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

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

If I = int_(0)^(pi//4) sin^(2) x" "dx and J = int_(0)^(pi//4)cos^(2)x" " dx. then