Home
Class 12
MATHS
Find the anti - derivative F of f define...

Find the anti - derivative F of f defined by `f(x)=4x^(5)-6x`, where `f(0)=2`
First, find the integral of f(x) and say it F(x). Further, use the condition f(0)=2 to get the value of C. Finally put the value of C in f(x) and get the required result.

Text Solution

Verified by Experts

The correct Answer is:
`(2x^(6))/(3)-3x^(2)+2`
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    ARIHANT PUBLICATION|Exercise PART I (QUESTIONS FOR PRACTICE) (1 MARK)|13 Videos
  • INTEGRATION

    ARIHANT PUBLICATION|Exercise PART I (QUESTIONS FOR PRACTICE) (4 MARK)|7 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANSWER TYPE QUESTIONS)|21 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE |35 Videos

Similar Questions

Explore conceptually related problems

If f:R to R defined by f(x)=(3x+5)/(2) is an invertible function, then find f^(-1)(x) .

Find the approximate value of f(3.02), where f(x)= 3x^2+5x+3 .

Find the value of k if the function f(x) defined by f(x)={(2x-1,when x 2):} is continous at x=2.

What is the derivative of f(In x) with respect to x where f(x) = In x ?

Find the value of k if the function f(x) defined by f(x)= {(2x-1,whenx 2):} is continous at x=2.

If f(x) =| x |, what is the value of f(0-)?

Let f:N to N be defined by f(x) =x+2 . Then, find whether f is injective.

If the invertible function f is defined as f(X) = (3x-4)/5 , write f^(-1) (X) .