Minggu, 07 Maret 2010

tabel integral

1. \int af(x)\,dx = a\int f(x)\,dx \qquad\mbox{(}a \mbox{ konstan)}\,\!
2. \int [f(x) + g(x)]\,dx = \int f(x)\,dx + \int g(x)\,dx
3. \int f(x)g(x)\,dx = f(x)\int g(x)\,dx - \int \left[f'(x) \left(\int g(x)\,dx\right)\right]\,dx
4. \int [f(x)]^n f'(x)\,dx = {[f(x)]^{n+1} \over n+1} + C \qquad\mbox{(untuk } n\neq -1\mbox{)}\,\!
5. \int {f'(x)\over f(x)}\,dx= \ln{\left|f(x)\right|} + C
6. \int {f'(x) f(x)}\,dx= {1 \over 2} [ f(x) ]^2 + C

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