How do you find the antiderivative of $x^(3/2)$ ?

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Answer 1 · 2016-10-20T16:25:57

$2/5 sqrt x^5$ + c

$int x^(3/2) dx$

= $x^(3/2 + 1)/((3/2 +1)$

= $x^(5/2)/(5/2)$

= $2/5x^(5/2) + c$

= $2/5 sqrt x^5$ + c

How do you find the antiderivative of x^(3/2)x^(3/2)?