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`

B

`I_1 + I_2 = 0`

C

`I_1 = pi/2 I_2`

D

`I_1 + I_2 = pi/2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATION|13 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Questions from karnataka CET & COMED|15 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Recent competitive Questions|10 Videos

Similar Questions

Explore conceptually related problems

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

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

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

int_(0)^(pi/6) sin2x . cosx dx

If I_(1) = underset(0)overset(pi//2)int x.sin xdx and I_(20 = underset(0)overset(pi//2)(int) x.cos x dx then which one of the following is true?

int_0^(pi/2) sin^(2)x dx =

int_(0)^(pi) log(1 + cos x)dx .

If int_0^(pi) x f (sin x) dx = A int_0^(pi//2) f (sin x) dx , then A is :