Integral (akar x + 1/akar x)3 dx bantu dong kak :)

Integral (akar x + 1/akar x)3 dx
bantu dong kak 🙂

Harus diekspansi menggunakan binomial Pascal dulu
$( sqrt{x} + frac{1}{ sqrt{x} } {)}^{3} \ = 1. { (sqrt{x}) }^{3} . ({ frac{1}{ sqrt{x} })}^{0} + 3 ( sqrt{x} {)}^{2} ( frac{1}{ sqrt{x} } ) \ + 3 sqrt{x} ( frac{1}{ sqrt{x} } {)}^{2} + 1( sqrt{x} {)}^{0} (frac{1}{ sqrt{x} } {)}^{3} \ = {x}^{ frac{3}{2} } + 3 sqrt{x} + frac{3}{ sqrt{x} } + frac{1}{ {x}^{ frac{3}{2} } }$

Misal: integral (akar x + 1/akar x)3 dx = a

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