Home
Class 12
MATHS
If I1=int0^(3pi) f(cos^2x) dx and I2 =in...

If `I_1=int_0^(3pi) f(cos^2x) dx` and `I_2 =int_0^pi f(cos^2x) dx` then (a)` I_1=I_2` (2) `I_1=2 I_2` (3) `I_1=5I_2` (4) `I_1=3I_2`

A

`I_(1)=I_(2)`

B

`3I_(1)=I_(2)`

C

`I_(1)=3I_(2)`

D

`I_(1)=5I_(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 2 : SINGLE OPTION CORRECT TYPE)|14 Videos
  • DEFINITE INTEGRALS

    MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE)|16 Videos
  • CONIC SECTIONS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS (CATEGORY 3 : One or More than One Option Correct Type)|6 Videos
  • DERIVATIVES

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS|22 Videos

Similar Questions

Explore conceptually related problems

If I_(1)=int_(0)^(3 pi)f(cos^(2)x)dx and I_(2)=int_(0)^( pi)f(cos^(2)x)dx then (a)I_(1)=I_(2)(2)I_(1)=2I_(2)(3)I_(1)=5I_(2)(4)I_(1)=3I_(2)

If I_(1)=int_(3pi)^(0) f(cos^(2)x)dx and I_(2)=int_(pi)^(0) f(cos^(2)x) then

If I=int_0^(3pi) f(cos^2x)dx and J=int_0^pi f(cos^2x)dx , then (A) I=5J (B) I=J (C) I=3J (D) none of these

If I_(1)=int_(0)^(pi//4)sin^(2)xdx and I_(2)=int_(0)^(pi//4)cos^(2)xdx , then

Let I_(1)=int_(0)^(3 pi)(f(cos^(2)x)dxI_(2)=int_(0)^(2 pi)(f(cos^(2)x)dx and I_(3)=int_(0)^( pi)(f(cos^(2)x)dx, then (A)I_(1)+2P_(2)+3I_(2)=0(B)I_(1)=2I_(2)+I_(3)(C)I_(2)+I_(3)=I_(1)(D)I_(1)=2I_(3)

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