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Question
Integrate the following with respect to x:
`(x^5)^(1/8)`
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Solution
`int (x^5)^(1/8) "d"x = int x^(5/8) * "d"x`
= `(x^(5/8 + 1))/(5/8 + 1) + "c"`
= `(x^(5 + 8/8))/((5 + 8)/8) + "c"`
= `(x^(13/8))/(13/8) + "c"`
`int (x^5)^(1/8) "d"x = 8/13 x^(13/8) + "c"`
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