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Question
Evaluate the following:
`int_0^oo "e"^(-mx) x^6 "d"x`
Sum
Solution
`int_0^oo "e"^(-mx) x^6 "d"x = int_0^oo x^"n""e"^(-"a"x) "d"x`
= `("n"!)/("a"^("n" + 1)`
Where n = 6
a = m
So the integral becomes = `(6!)/(3^(6 + 1)) = (6!)/"m"^7`
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Definite Integrals
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Chapter 2: Integral Calculus – 1 - Exercise 2.10 [Page 51]
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