Home
Class 12
MATHS
The antiderivative of (sqrt(x)+1/x) equa...

The antiderivative of `(sqrt(x)+1/x)` equals

A

`1/3x^(1/3)+2x^(1/2)+C`

B

`2/3x^(2/3)+1/2x^(2)+C`

C

`2/3x^(3/2)+log|x|+C`

D

`3/2x^(3/2)+1/2x^(1/2)+C`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION II MOST IMPORTANT QUESTIONS FOR PRACTICE)|28 Videos

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION III MOST IMPORTANT QUESTIONS FOR PRACTICE)|39 Videos

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES|5 Videos

  • DIFFERENTIAL EQUATIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE|50 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)|48 Videos

Similar Questions

Explore conceptually related problems

Write the antiderivative of (3sqrtx+1/sqrtx)

An antiderivative of sin 2x is

An antiderivative of sin mx is

An antiderivative of cos 5x is

Find the antiderivative of sin2x+3x

"If for "x in (0,(1)/(4))," the derivative of "tan^(-1)((6xsqrt(x))/(1-9x^(3)))" is "sqrt(x)cdotg(x), then g(x) equals