de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of t^2e^{5t}

Lösung

\int t^{2} e^{5 t} d t

Lösung

\frac{1}{5} e^{5 t} t^{2} - \frac{2}{125} (5 e^{5 t} t - e^{5 t}) + C

Schritte zur Lösung

\int t^{2} e^{5 t} d t

Wende die partielle Integration an

= \frac{1}{5} e^{5 t} t^{2} - \int \frac{2}{5} e^{5 t} t d t

\int \frac{2}{5} e^{5 t} t d t = \frac{2}{125} (5 e^{5 t} t - e^{5 t})

= \frac{1}{5} e^{5 t} t^{2} - \frac{2}{125} (5 e^{5 t} t - e^{5 t})

Füge eine Konstante zur Lösung hinzu

= \frac{1}{5} e^{5 t} t^{2} - \frac{2}{125} (5 e^{5 t} t - e^{5 t}) + C

Graph

Beliebte Beispiele

derivative of e^{2x^2-5x}

\frac{d}{d x} (e^{2 x^{2} - 5 x})

integral of-(2x)/(1-x^2)

\int - \frac{2 x}{1 - x ^{2}} d x

inverselaplace 2/(s^2+4)

in v erse l a pl a ce \frac{2}{s ^{2} + 4}

integral of (5-3sin(2x))/(sec(6x))

\int \frac{5 - 3 sin ( 2 x )}{sec ( 6 x )} d x

integral of ((x^2+1)/x)

\int (\frac{x ^{2} + 1}{x}) d x