From 41e6b26e59e91987816385153565d0bed8f5301c Mon Sep 17 00:00:00 2001 From: BigTire Date: Wed, 25 Jan 2023 16:22:24 +0100 Subject: [PATCH] =?UTF-8?q?Vzore=C4=8Dky=20pro=20speci=C3=A1ln=C3=AD=20typ?= =?UTF-8?q?=20integr=C3=A1lu=20s=20goniometrick=C3=BDmi=20funkcemi=20(sin,?= =?UTF-8?q?=20cos)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- KMA M1/7. Neurčité integrály.md | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/KMA M1/7. Neurčité integrály.md b/KMA M1/7. Neurčité integrály.md index e56dc03..3b3f329 100644 --- a/KMA M1/7. Neurčité integrály.md +++ b/KMA M1/7. Neurčité integrály.md @@ -76,3 +76,8 @@ dosadíme-li napravo $x = g^{-1}(y)$. | $\displaystyle\frac{dx}{\sin^2x}$ | $-\cot(x) + C$ | | $\displaystyle\frac{dx}{1+x^2}$ | $\arctan(x) + C$ | | $\displaystyle\frac{dx}{\sqrt{ 1-x^2 }}$ | $\arcsin(x) + C$ | + +### vzorečky na typ s goniometrickými funkcemi (sin, cos) +- $\int sin(x) * sin(y) \ dx = \frac{1}{2}(cos(y-x)-cos(x+y))$ +- $\int sin(x) * cos(y) \ dx = \frac{1}{2}(sin(x+y)-sin(y-x))$ +- $\int cos(x) * cos(y) \ dx = \frac{1}{2}(cos(x+y)+cos(y-x))$ \ No newline at end of file