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Calculus Level 4

∫ 0 ∞ x e − x 6 d x = ? \large \int_0^\infty \sqrt{x} e ^ { - \sqrt[6]{x} } \, dx =\ ?


The answer is 241920.

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Shashank Rustagi by Shashank Rustagi , 24, India

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1 solution

Shashank Rustagi
Jul 14, 2015

We are going to use the world famous gamma function to solve this problem.

6 Helpful 0 Interesting 0 Brilliant 0 Confused

I did not see gamma function but u can also do it by parts since u know only last term will not have a u term in it so answer then is simply 8th derivative ot t^8 times constant 6 or 6(8!)

D S - 3 years, 5 months ago

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