de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of (5x^3-3x^2+7)

Lösung

\int (5 x^{3} - 3 x^{2} + 7) d x

Lösung

\frac{5 x ^{4}}{4} - x^{3} + 7 x + C

Schritte zur Lösung

\int 5 x^{3} - 3 x^{2} + 7 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 5 x^{3} d x - \int 3 x^{2} d x + \int 7 d x

\int 5 x^{3} d x = \frac{5 x ^{4}}{4}

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

\int 7 d x = 7 x

= \frac{5 x ^{4}}{4} - x^{3} + 7 x

Füge eine Konstante zur Lösung hinzu

= \frac{5 x ^{4}}{4} - x^{3} + 7 x + C

Graph

Beliebte Beispiele

derivative of x^4-8x^2+16

\frac{d}{d x} (x^{4} - 8 x^{2} + 16)

d/(dy)(1/(y^3))

\frac{d}{d y} (\frac{1}{y ^{3}})

(\partial)/(\partial x)(2x^2+5y^2-xy)

\frac{\partial}{\partial x} (2 x^{2} + 5 y^{2} - x y)

integral from x to x^2 of e^{t^2}

\int_{x}^{x^{2}} e^{t^{2}} d t

derivative tan^4(x^3)

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