Home
Class 12
MATHS
int(dx)/((x^(2)+4x+8))...

`int(dx)/((x^(2)+4x+8))`

A

`2 tan ^(-1)(x+2)+c`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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(dx)/(x^2+8)=

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

int(1)/(x^(2)-4x+8)dx

int(x)/(9-4x^(2))dx

int(x)/(9-4x^(2))dx

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

If int(x)/(x^(2)-4x+8)dx=Klog(x^(2)-4x+8)+tan^(-1)((x-2)/(2)) + C then the value of K is

int((3)/(x^(2))-4x)dx

int(dx)/((9+4x^(2)))dx=?

Evaluate : (i) int(dx)/((1-4x^(2))) (ii) int(dx)/((32-2x^(2))) (iii) int(x^(2))/((1-x^(6)))dx