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प्रश्न
Evaluate the following:
`int_0^oo x^5 "e"^(-3x) "d"x`
योग
उत्तर
We know that
`int_0^oo x^"n" "e"^(-"a"x) "d"x ("n"!)/("a"^("n" + 1))`
∴ `int_0^oo x^5 "e"^(-3x) "d"x = (5!)/(3^(5 + 1))`
= `(5!)/(3^6)` ......(Here n = 5, a = 3)
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Gamma Integral
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Applications of Integration - Exercise 9.7 [पृष्ठ १२२]
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