integral of 3*cos(x)+\sqrt[3]{x}+2

Lösung

\int 3 \cdot cos (x) + 3 x + 2 d x

3 sin (x) + \frac{3}{4} x^{\frac{4}{3}} + 2 x + C

Schritte zur Lösung

\int 3 cos (x) + 3 x + 2 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 3 cos (x) d x + \int 3 x d x + \int 2 d x

\int 3 cos (x) d x = 3 sin (x)

\int 3 x d x = \frac{3}{4} x^{\frac{4}{3}}

\int 2 d x = 2 x

= 3 sin (x) + \frac{3}{4} x^{\frac{4}{3}} + 2 x

Füge eine Konstante zur Lösung hinzu

= 3 sin (x) + \frac{3}{4} x^{\frac{4}{3}} + 2 x + C

\int \frac{e ^{- 2 x}}{4 + e ^{- 2 x}} d x

\int \frac{x ^{2} - 9}{2 x} d x

\int \frac{2 x ^{4}}{1 - 8 x ^{5}} d x

\int \frac{d}{1} y d x

\int - 3 sin^{2} (x) cos^{2} (x) d x