integral of (csc^2(x)-2e^x)

Lösung

\int (csc^{2} (x) - 2 e^{x}) d x

- cot (x) - 2 e^{x} + C

Schritte zur Lösung

\int csc^{2} (x) - 2 e^{x} d x

Wende die Summenregel an:

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

= \int csc^{2} (x) d x - \int 2 e^{x} d x

\int csc^{2} (x) d x = - cot (x)

\int 2 e^{x} d x = 2 e^{x}

= - cot (x) - 2 e^{x}

Füge eine Konstante zur Lösung hinzu

= - cot (x) - 2 e^{x} + C

x \to 2 lim (x^{3} + 4 x^{2} - 2 x + 2)

d er i v a t i v e f (x) = 2 x^{2} e^{x} (x^{2} - 3 x + 1)

\int 2 x \cdot e^{x} d x

\int_{1}^{4} \frac{x - 7}{x} d x

d er i v a t i v e (3 x^{3} + 4)^{2}