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

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

A

`(1)/(6)tan^(-1)x+(sqrt(3))/(10)tan^(-1)((x)/(sqrt(3)))-(1)/(15sqrt(2))log|(x-sqrt(2))/(x+sqrt(2))|+c`

B

`(1)/(6)tan^(-1)x-(sqrt(3))/(10)tan^(-1)((x)/(sqrt(3)))-(1)/(15sqrt(2))log|(x-sqrt(2))/(x+sqrt(2))|+c`

C

`(1)/(6)tan^(-1)x+(sqrt(3))/(10)tan^(-1)((x)/(sqrt(3)))+(1)/(15sqrt(2))log|(x-sqrt(2))/(x+sqrt(2))|+c`

D

`(1)/(6)tan^(-1)x-(sqrt(3))/(10)tan^(-1)((x)/(sqrt(3)))+(1)/(15sqrt(2))log|(x-sqrt(2))/(x+sqrt(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(x^(2))/((x^(2)+1)(x^(2)+3))dx

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

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

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

inte^(x)((1)/(x^(2))-(2)/(x^(3)))dx=?

int e^(x)((1)/(x^(2))-(2)/(x^(3)))dx

Evaluate int((x^(2)-4))/((x^(2)+1)(x^(2)+2)(x^(2)+3))dx

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

Evaluate : (i) inte^(x)((1)/(x)-(1)/(x^(2)))dx (ii) inte^(x)((1)/(x^(2))-(2)/(x^(3)))dx (iii) inte^(x){sin^(-1)x+(1)/(sqrt(1-x^(2)))}dx (iv) inte^(x)(tanx+logsecx)dx