Vzorečky pro speciální typ integrálu s goniometrickými funkcemi (sin, cos)
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@ -76,3 +76,8 @@ dosadíme-li napravo $x = g^{-1}(y)$.
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| $\displaystyle\frac{dx}{\sin^2x}$ | $-\cot(x) + C$ |
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| $\displaystyle\frac{dx}{1+x^2}$ | $\arctan(x) + C$ |
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| $\displaystyle\frac{dx}{\sqrt{ 1-x^2 }}$ | $\arcsin(x) + C$ |
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### vzorečky na typ s goniometrickými funkcemi (sin, cos)
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- $\int sin(x) * sin(y) \ dx = \frac{1}{2}(cos(y-x)-cos(x+y))$
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- $\int sin(x) * cos(y) \ dx = \frac{1}{2}(sin(x+y)-sin(y-x))$
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- $\int cos(x) * cos(y) \ dx = \frac{1}{2}(cos(x+y)+cos(y-x))$
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