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Aturan Integrasi Dasar

Dua teknik integrasi dasar adalah

1.Teknik substitusi

2.Teknik integrasi parsial

Jika teman teman mempunyai daya ingat yang kuat, teman teman bisa mempercepat perhitungan integrasi dengan menghafal bentuk integral baku berikut :

\int k \textrm{ du} = ku +C

\int u^r  \textrm{ du} = \frac{u^{r+1}}{r+1}+C, r \neq -1,

Jika  r=-1, maka hasilnya  ln|u|+C

\int e^u \textrm{ du} = e^u+C

\int a^u  \textrm{ du} = \frac{a^u}{ln a}+C, a\neq 1 , a>0

\int \sin u \textrm{ du} = -\cos u+C

\int \sec^2 u \textrm{ du} = \tan u +C

\int \tan u \textrm{ du} = -ln|\cos u|+C

\int \frac{1}{\sqrt{a^2-u^2}}du = +C

\int \sin h u du = \cos h u +C


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