Home
Class 12
MATHS
If int f(x)dx=f(x), then int {f(x)}^(2)d...

If `int f(x)dx=f(x)`, then `int {f(x)}^(2)dx` is equal to

A

`(1)/(2){f(x)}^(2)+C`

B

`{f(x)}^(2)+C`

C

`(1)/(3){f(x)}^(2)+C`

D

`(1)/(5){f(x)}^(2)+C`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Objective Type Questions (Only one answer)|70 Videos
  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Objective Type Questions (More than one answer)|32 Videos
  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|50 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

If intf(x)dx=f(x), then int{f(x)}^2dx is equal to

If int f(x)dx=F(x), then intx^3f(x^2)dx is equal to :

If int f(x)dx=psi(x) , then int x^5f(x^3)dx

If f(x)=f(a+b-x), then int_(a)^(b) xf(x)dx is equal to

Let f: R rarr R be a continuous function given by f(x+y)=f(x)+f(y) for all x,y, in R, if int_0^2 f(x)dx=alpha, then int_-2^2 f(x) dx is equal to

If f(a+x)=f(x), then int_(0)^(na) f(x)dx is equal to (n in N)

If f(a+b-x) =f(x) , then int_(a)^(b) x f(x) dx is equal to

If int_0^af(2a-x)dx=m and int_0^af(x)dx=n, then int_0^(2a) f(x) dx is equal to

If f(2-x)=f(2+x) and f(4-x)=f(4+x) for all x and f(x) is a function for which int_0^2 f(x)dx=5 , then int_0^(50)f(x)dx is equal to

If f((3x-4)/(3x+4))=x+2 , then int f(x)dx is equal to