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Question

Mathematics Question on Double and triple integrals

The value of double integal 00xexyydydx\int\limits_0^∞\int\limits_0^xe^{-xy} ydydx is equal to:

A

π\sqrt π

B

2π2\sqrt π

C

12π\frac{1}{2}\sqrt π

D

14π\frac{1}{4}\sqrt π

Answer

12π\frac{1}{2}\sqrt π

Explanation

Solution

The correct option is(C)