Home
Class 12
MATHS
Write an anti derivative for each of the...

Write an anti derivative for each of the following functions
(i) `cos2x`
(ii) `e^(4x)`
(iii) `1/x,x!=0`
(iv) `3x^(2)+4x^(3)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `(sin2x)/(2)`
(ii) `(e^(4x))/(4)`.
(iii) `log|x|`
(iv) `3x^(2)+4x^(3)` is `x^(3)+x^(4)`.
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE 7.1|22 Videos
  • INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE 7.2|30 Videos
  • DIFFERENTIAL EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTION|19 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|9 Videos

Similar Questions

Explore conceptually related problems

Find an anti derivative (or integral) of the following functions. cos3x

Find an anti derivative (or integral) of the following functions . 2e^(2x)

Find an anti derivative (or integral) of the following functions sin3x-e^(3x)

Integrate the following functions w.r.to 'x' . (i) e^(3x-6) (ii) e^(8-7x) (iii) 1/(6-4x)

Find the anti-derivative following function ; (1)/(x-sqrt(x))

Anti-derivative of the rational functions (x)/((x+1)(x+2))

Discuss the extreama of the following functions (i)f(x)=|x|,(ii)f(x)=e^(-|x|),(iii) f(x)=x^(2//3)

Find the derivatives of the following : sin^(-1) (3x-4x^3)

Find an anti derivative (or integral) of the following functions by the method of inspection. sin 2x – 4 e^(3x)