Home
Class 12
MATHS
int(1)/(x^(4)+(a^(2)+b^(2))x^(2)+a^(2)b^...

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

A

`(1)/(a^(2)-b^(2))[(1)/(a)tan^(-1)((x)/(a))-(1)/(b)tan^(-1)((x)/(b))]+c`

B

`(1)/(a^(2)-b^(2))[tan^(-1)((x)/(a))-tan^(-1)((x)/(b))]+c`

C

`(1)/(b^(2)-a^(2))[(1)/(a)tan^(-1)((x)/(a))-(1)/(b)tan^(-1)((x)/(b))]+c`

D

`2x[log(x^(2)+a^(2))-log(x^(2)+b^(2))]+c`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS MHT-CET EXAM QUESTIONS)|13 Videos

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

  • LINE IN SPACE

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|44 Videos

Similar Questions

Explore conceptually related problems

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

int(1)/(sqrt(a^(2)+b^(2)x^(2)))dx

int(1)/(sqrt(a^(2)-b^(2)x^(2)))dx=

int (1)/((x+b)(x^(2)+a^(2)))dx

int(x)/((x^(2)-a^(2))(x^(2)-b^(2)))dx

int(1)/(x sqrt(a^(2)x^(2)-b^(2)))dx=

Evaluate: (i) int(1)/(a^(2)x^(2)-b^(2))dx (ii) int(x^(2)-1)/(x^(2)+4)dx

int_(0)^(oo)(x^(2))/((x^(2)+a^(2))(x^(2)+b^(2)))dx=(pi)/(2(a+b))

int_(b)^( a)x^(2)dx=