de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of 4x^3+e^x+1

Lösung

\int 4 x^{3} + e^{x} + 1 d x

Lösung

x^{4} + e^{x} + x + C

Schritte zur Lösung

\int 4 x^{3} + e^{x} + 1 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 4 x^{3} d x + \int e^{x} d x + \int 1 d x

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

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

\int 1 d x = x

= x^{4} + e^{x} + x

Füge eine Konstante zur Lösung hinzu

= x^{4} + e^{x} + x + C

Graph

Beliebte Beispiele

derivative F(x)=4x^6(x^4-6x)

d er i v a t i v e F (x) = 4 x^{6} (x^{4} - 6 x)

integral of (5x^3+2x^2-2x+1)

\int (5 x^{3} + 2 x^{2} - 2 x + 1) d x

taylor x/((1-x^2)^{1/2)}

t a y l or \frac{x}{( 1 - x ^{2} ) ^{\frac{1}{2}}}

derivative of (2pi/x)

\frac{d}{d x} (\frac{2 π}{x})

derivative f(x)=(3x+1)^{1/2}

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