integral x akar x DX

[tex] \int\limits {x \sqrt{x} } \, dx \\ = \int\limits {x . x^{ \frac{1}{2} } } \, dx \\ = \int\limits { x^{ \frac{3}{2} } } \, dx \\ = \frac{1}{ \frac{3}{2}+1 } x^{ \frac{3}{2} +1}+C\\ = \frac{1}{ \frac{5}{2} }x^{ \frac{5}{2}}+C \\ \bold{= \frac{2}{5} x^{ \frac{5}{2}} +C}[/tex]

Int x^3/2 dx
= 1/(3/2+1) x^3/2+1 +C
= 1/5/2 x^5/2 +C
= 2/5 x^5/2 + C