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Question
Integrate the following with respect to x:
`root(3)(x^4)`
Solution
`int root(3)(x^4) "d"x = int x^(4/3) * "d"x`
= `(x^(4/3 + 1))/(4/3 + 1) + "c"`
= `(x^(4 + 3/3))/((4 + 3)/3) + "c"`
= `3/7 x^(7/3) + "c"`
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