From 383dda8c4339384325f8df06f596070fb77e609e Mon Sep 17 00:00:00 2001 From: Filip Znachor Date: Wed, 25 Jan 2023 16:32:29 +0100 Subject: [PATCH] =?UTF-8?q?=C3=9Aprava=20form=C3=A1tov=C3=A1n=C3=AD=20goni?= =?UTF-8?q?ometrick=C3=BDch=20vzore=C4=8Dk=C5=AF=20v=20M1?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- KMA M1/7. Neurčité integrály.md | 9 +++++---- 1 file changed, 5 insertions(+), 4 deletions(-) diff --git a/KMA M1/7. Neurčité integrály.md b/KMA M1/7. Neurčité integrály.md index 1904760..8474605 100644 --- a/KMA M1/7. Neurčité integrály.md +++ b/KMA M1/7. Neurčité integrály.md @@ -77,7 +77,8 @@ dosadíme-li napravo $x = g^{-1}(y)$. | $\displaystyle\frac{dx}{1+x^2}$ | $\arctan(x) + C$ | | $\displaystyle\frac{dx}{\sqrt{ 1-x^2 }}$ | $\arcsin(x) + C$ | -### vzorečky na typ s goniometrickými funkcemi (sin, cos) -- $\int sin(x) * sin(y) \ dx = \frac{1}{2} \int(cos(y-x)-cos(x+y)) \ dx$ -- $\int sin(x) * cos(y) \ dx = \frac{1}{2} \int (sin(x+y)-sin(y-x)) \ dx$ -- $\int cos(x) * cos(y) \ dx = \frac{1}{2} \int (cos(x+y)+cos(y-x)) \ dx$ \ No newline at end of file +### Vzorečky na typ s goniometrickými funkcemi (sin, cos) + +- $\displaystyle\int \sin(x) \cdot \sin(y) \, dx = \frac{1}{2} \int(\cos(y-x)-\cos(x+y)) \, dx$ +- $\displaystyle\int \sin(x) \cdot \cos(y) \, dx = \frac{1}{2} \int (\sin(x+y)-\sin(y-x)) \, dx$ +- $\displaystyle\int \cos(x) \cdot \cos(y) \, dx = \frac{1}{2} \int (\cos(x+y)+\cos(y-x)) \, dx$ \ No newline at end of file