Home
Class 12
MATHS
int (x^(3)+1)/(x^(2)+1)dx...

`int (x^(3)+1)/(x^(2)+1)dx`

A

`(x^(2))/(2)-(1)/(2) log (x^(2)+1)+ Tan^(-1)x+c`

B

`(x^(2))/(2)+(1)/(2) log (x^(2)-1)+ Tan^(-1)x+c`

C

`(x^(2))/(3)-(1)/(3) log (x^(2)-1)+ Tan^(-1)x+c`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|132 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|109 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4)|4 Videos

  • HYPERBOLIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 {SPECIAL TYPE QUESTIONS} SET - 4|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

Similar Questions

Explore conceptually related problems

Evalute the following integrals int (x^(3) - 1)/(x^(2)) dx

int (x^(3))/(1+x^(8))dx=

int (x^(3))/(1+x^(4))dx=

int (x +1)/(x^(2) + 1) dx =

Find the following integrals: (i) int(x^(3)-1)/(x^(2))dx (ii) int(x^(2/3)+1)dx (iii) int(x^(3/2)+2e^(x)-1/x)dx

Evaluate int (x + (1)/(x))^((3)/(2)) ((x^(2) -1)/(x^(2)) ) dx

int_(2)^(3) (1)/(x^(2)-x) dx=