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int0^oo(dx)/([x+sqrt(x^2+1)]^3)i se q u ...

`int_0^oo(dx)/([x+sqrt(x^2+1)]^3)i se q u a lto` `3/8` (b) `1/8` (c) `-3/8` (d) none of these

A

`3/8`

B

`1/8`

C

`-3/8`

D

none of these

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To evaluate the integral \[ I = \int_0^{\infty} \frac{dx}{(x + \sqrt{x^2 + 1})^3}, \] we will use a substitution method. ...
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