Home
Class 12
MATHS
If int(0)^(1)f(x)dx=1, int(0)^(1)x f(x)d...

If `int_(0)^(1)f(x)dx=1, int_(0)^(1)x f(x)dx=a` and `int_(0)^(1)x^(2)f(x)dx=a^(2)`, then : `int_(0)^(1)(a-x)^(2)f(x)dx=`

A

`4a^(2)`

B

0

C

`2a^(2)`

D

`3a^(2)`

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

If int_(-1)^(1)f(x)dx=0 then

If int_(0)^(2a) f(x)dx=int_(0)^(2a) f(x)dx , then

int_(0)^(2a)f(x)dx-int_(0)^(a)f(x)dx=

int_(0)^(2a)f(x)dx-int_(0)^(a)f(x)dx=

If : int_(0)^(2a)f(x)dx=2.int_(0)^(a)f(x)dx , then :

If int_(0)^(1)f(x)dx=1 and int_(1)^(2)f(y)dy=2 , then int_(0)^(2)f(z)dz=

int_(0)^(a)[f(x)+f(a-x)]dx=

If f(a-x)=f(x) and int_(0)^(a//2)f(x)dx=p , then : int_(0)^(a)f(x)dx=

int_(0)^(a)f(2a-x)dx=m and int_(0)^(a)f(x)dx=n then int_(0)^(2a)f(x)dx is equal to

prove that : int_(0)^(2a) f(x)dx = int_(0)^(a) f(x)dx + int_(0)^(a)f(2a-x)dx