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प्रश्न
Evaluate the following:
`int_0^oo "e"^(-mx) x^6 "d"x`
योग
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उत्तर
`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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अध्याय 2: Integral Calculus – 1 - Exercise 2.10 [पृष्ठ ५१]
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