de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of 3-7x^2+\sqrt[7]{x}

Lösung

\int 3 - 7 x^{2} + 7 x d x

Lösung

3 x - \frac{7 x ^{3}}{3} + \frac{7}{8} x^{\frac{8}{7}} + C

Schritte zur Lösung

\int 3 - 7 x^{2} + 7 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 3 d x - \int 7 x^{2} d x + \int 7 x d x

\int 3 d x = 3 x

\int 7 x^{2} d x = \frac{7 x ^{3}}{3}

\int 7 x d x = \frac{7}{8} x^{\frac{8}{7}}

= 3 x - \frac{7 x ^{3}}{3} + \frac{7}{8} x^{\frac{8}{7}}

Füge eine Konstante zur Lösung hinzu

= 3 x - \frac{7 x ^{3}}{3} + \frac{7}{8} x^{\frac{8}{7}} + C

Graph

Beliebte Beispiele

integral of 1/(sqrt(\sqrt{x+1))}

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

integral of x^{-2}*e^x

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

integral of e^{-(s+3)t}

\int e^{- (s + 3) t} d t

integral of (3/(sqrt(x+1)))

\int (\frac{3}{x + 1}) d x

integral of sin^3(y)cos^2(y)

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