PG entrance exam CUET PG 2025 Mock Test Mathematical Science Integral Calculus

The value of double integral \(\rm\int_0^\infty\int_0^x e^{-xy}ydydx\) is equal to

1
\(\rm \sqrt{\pi}\)
2
2\(\rm \sqrt{\pi}\)
3
\(\frac{1}{2}​​\sqrt \pi\)
4
\(\frac{1}{4}​​\sqrt \pi\)
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