integral of cos(θ)+sin(θ)

Lösung

\int cos (θ) + sin (θ) d θ

sin (θ) - cos (θ) + C

Schritte zur Lösung

\int cos (θ) + sin (θ) d θ

Wende die Summenregel an:

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

= \int cos (θ) d θ + \int sin (θ) d θ

\int cos (θ) d θ = sin (θ)

\int sin (θ) d θ = - cos (θ)

= sin (θ) - cos (θ)

Füge eine Konstante zur Lösung hinzu

= sin (θ) - cos (θ) + C

\frac{d}{d x} (\frac{2 x}{x ^{2} + 9})

\int_{0}^{1} x sin (\frac{nπ x}{2}) d x

x \to y lim (x - y)

x \to - 1 lim (2 - x)

d er i v a t i v e f (x) = (x - 2) (3 - 2 x) (6 - x)