Home
Class 12
MATHS
Write down the integral of the following...

Write down the integral of the following (i) `5^x` (ii) `x^(3//2)+2e^x-1/x`.

Text Solution

Verified by Experts

The correct Answer is:
`5^x/(log x)+c`
(ii) `-log|X|+c`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE 7(a) LONG ANSWER TYPE QUESTION|10 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE 7(b) SHORT ANSWER TYPE Frequently Asked Question FAQ|11 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise COMPETITION FILE|24 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (9)|12 Videos

  • INVERSE - TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (2)|11 Videos

Similar Questions

Explore conceptually related problems

Write down the integral of the following cos 2x

Write down the integral of the following x^4+x^-5

Write down the integral of the following 2x-3 cos x+e^x

Write down the integral of the following (i) 1/x, x ne 0 (ii) x+1/x , xne 0

Write down the integral of the following (i) x^(2//3)+1 (ii) (3/sqrtx+5x^4)

Write down the integral of the following (i) sinx+cos x (ii) cosec x (cosec x + cot x)

Find an antiderivative (or integral) of the following cos 3x (ii) 3x^2+4x^3 (iii) (ax+b)^2 (iv) sin 2x-4e^(3x)

Write the coefficients of x^2 in each of the following: (i) 2+x^2+x (ii) 2-x^2+x^3 (iii) pi/2x^2+x (iv) sqrt(2)x-1

Integrate the following: 6x + 5x^2 - 2x^3 + (1/x^2)

Write the coefficient of x^(2) in the following: -3x^(2)( ii) 5x^(2)yz