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The value of int(0)^(oo) (dx)/(a^(2)+x^...

The value of ` int_(0)^(oo) (dx)/(a^(2)+x^(2))` is equal to

A

`(pi)/(2)`

B

`(pi)/(2a)`

C

`(pi)/(a)`

D

`(1)/(2a)`

Text Solution

Verified by Experts

The correct Answer is:
B
` int _(0)^(oo) (dx)/((a^(2)+x^(2))) = [ 1/a tan^(-1). x/a ] _(0)^(oo) = 1/a (pi/2 - 0) = pi/(2a) `
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-DEFINITE INTEGRALS-MHT CET Corner
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