Home
Class 12
MATHS
int(5x^2)/((x+1)(x^2+4))dx=...

`int(5x^2)/((x+1)(x^2+4))dx=`

A

`log|x+1|+2log|x^2+4|-2tan^(-1)((x)/(2))+c`

B

`log|x+1|-2log|x^2+4|+2tan^(-1)((x)/(2))+c`

C

`log|x+1|-2log|x^2+4|-2tan^(-1)((x)/(2))+c`

D

`log|x+1|+2log|x^2+4|+2tan^(-1)((x)/(2))+c`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    NIKITA PUBLICATION|Exercise MCQ|559 Videos

  • LINE

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|127 Videos

Similar Questions

Explore conceptually related problems

int(5x)/((x+1)(x^2-4))dx

Evaluate: int(5x)/((x+1)(x^2-4))\ dx

Evaluate int(5x)/((x+1)(x^(2)+9))dx

int(1)/((x+5)(x^(2)+4))dx=

int(5x^2+2x+1)dx

int(x^(2)+5x+5)/(x^(4))dx

int(1)/((2-3x)^(2)(4-5x))dx=

int (5x) / (1 + 2x ^ (4)) dx

int(1)/((2x+3)^(2)(4x+5))dx=

" (1) "int(x^(2)+5x+6)/((x+2))dx