C: hằng số tùy ý, k: hằng số\(\)
\(\displaystyle \int f(x)dx = F(x) + C\)
\(F'(x)=f(x)\)
\(\displaystyle \int d(x)=x+c\)
\(\displaystyle \int kf(x)dx = k \ \displaystyle \int f(x)dx\)
\(\displaystyle \int (u+v+w)dx =\displaystyle \int udx + \displaystyle \int vdx + \displaystyle \int wdx \)
\(\displaystyle \int udv =uv-\displaystyle \int vdu\)
\(\displaystyle \int f(kx)dx=\dfrac{1}{k} \displaystyle \int f(x)dx \)
\(\displaystyle \int x^mdx = \dfrac{x^{m+1}}{m+1} + C, (m \neq -1)\)
\(\displaystyle \int (ax+b)^ndx = \dfrac{(ax+b)^{n+1}}{a(n+1)} + C, (n \neq -1)\)
\(\displaystyle \int e^xdx = e^x + C\)
\(\displaystyle \int k^xdx = \displaystyle \int e^{x \ ln\ k}dx =\dfrac{e^{ \ ln \ k}}{ln \ k}= \dfrac{k^x}{ln \ k},\)
\((k > 0, k \neq 1)\)
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