y^'=cos(x)

Lösung

y^{^{'}} = cos (x)

y = sin (x) + c_{1}

Schritte zur Lösung

y^{'} (x) = cos (x)

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

y = \int cos (x) d x

\int cos (x) d x = sin (x) + c_{1}

y = sin (x) + c_{1}

in v erse l a pl a ce \frac{e ^{- 2 s}}{s + 3}

\frac{d}{d x} (x^{2} \cdot tan (x))

in v erse l a pl a ce \frac{s + 3}{s ^{2} + 6 s + 13}

\int (3 x - sin (x)) d x

x \to 7 lim (\frac{\frac{1}{x} - \frac{1}{7}}{x - 7})