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int0^oo(x^2dx)/((x^2+a^2)(x^2+b^2))...

`int_0^oo(x^2dx)/((x^2+a^2)(x^2+b^2))`

A

`pi/(2(a-b))`

B

`pi/(2(b - a))`

C

`pi/((a +b))`

D

`pi/(2(a + b))`

Text Solution

Verified by Experts

The correct Answer is:
D
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Given that int_0^oo(x^2)/((x^2+a^2)(x^2+b^2)(x^2+c^2))dx=pi/(2(a+b)(b+c)(c+a)) the value of int_0^oo(dx)/((x ^2+4)(x^2+9)), is pi/(60) b. pi/(40) c. pi/(20) d. pi/(80)

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