Integral Parsial – Belajar

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Integral Parsial

Riad Taufik Lazwardi Sweet March 25, 2019 2.3 Teknik Mengerjakan Integral , Pendahuluan Integral 0 Comments 443 views

Ide rumus di atas berasal dari aturan turuan : $(uv)'=uv'+u'v$

TIPS DAN TRIK

Pilih fungsi u dengan urutan LIPET, yaitu :

Logaritma
Inverse function
Polynomial
Eksponensial
Trigonometri

Contoh

$\int x . cos x dx$

Pilih :

$u = x$
$dv = cos x$
Turunkan u terhadap x, didapat $\frac{du}{dx}=1$
Integralkan $cos x$ , didapat $v=sin x$ .
Substitusikan ke dalam bentuk

$\int u dv = u v- \int v du$

$\int x. cos x dx= x.sin x - \int sin x dx$

$= x.sin x - (- cos x) + C$

$= x. sin x + cos x + C$

Sumber : learnloft.com

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About Riad Taufik LazwardiSweet

Lecturer of Mathematics at 1. Kalbis Institute | Managed by Binus (2018-now) 2. Telkom University (2017-2018) 3. UIN Bandung (2015-2018)

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