Integral Teknik Subtitusi
$\int \frac {2x+3}{(x^2+3x+2)^3}dx=...$
Penyelesaian:
$\int \frac {2x+3}{(x^2+3x+2)^3}dx=$
Misal: $u=x^2+3x+2)^3$
$du =2x+3 dx$
$\int \frac {2x+3}{(x^2+3x+2)^3}dx=\int \frac {1}{u^{3}}du \\ \int u^{-3} du = \frac {-1}{2u}+c \\ - \frac {1}{2 ((x^2+3x+2)^2}+C$
Penyelesaian:
$\int \frac {2x+3}{(x^2+3x+2)^3}dx=$
Misal: $u=x^2+3x+2)^3$
$du =2x+3 dx$
$\int \frac {2x+3}{(x^2+3x+2)^3}dx=\int \frac {1}{u^{3}}du \\ \int u^{-3} du = \frac {-1}{2u}+c \\ - \frac {1}{2 ((x^2+3x+2)^2}+C$
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