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

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

A

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

B

`(1)/(b^(2)-a^(2))[(1)/(a)"Tan"^(-1)(x)/(a)+(1)/(b)"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

none

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

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

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-1)|4 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|164 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

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

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

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

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

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

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

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

If int_(0)^(oo)(x^(2)dx)/((x^(2)+a^(2))(x^(2)+b^(2))(x^(2)+c^(2)))=(pi)/(2(a+b)(b+c)(c+a))" then "int_(0)^(oo)(dx)/((x^(2)+4)(x^(2)+9))=