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^2sin(5t)

Lösung

\int t^{2} sin (5 t) d t

Lösung

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

Schritte zur Lösung

\int t^{2} sin (5 t) d t

Wende die partielle Integration an

= - \frac{1}{5} t^{2} cos (5 t) - \int - \frac{2}{5} t cos (5 t) d t

\int - \frac{2}{5} t cos (5 t) d t = - \frac{2}{125} (5 t sin (5 t) + cos (5 t))

= - \frac{1}{5} t^{2} cos (5 t) - (- \frac{2}{125} (5 t sin (5 t) + cos (5 t)))

Vereinfache

= - \frac{1}{5} t^{2} cos (5 t) + \frac{2}{125} (5 t sin (5 t) + cos (5 t))

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

d/(dn)((1+i)^n+(1-i)^n)

\frac{d}{d n} ((1 + i)^{n} + (1 - i)^{n})

derivative of 4/x-1/(x^3)

\frac{d}{d x} (\frac{4}{x} - \frac{1}{x ^{3}})

integral from 1 to 3 of f(2x)

\int_{1}^{3} f (2 x) d x

limit as t approaches 0 of ln(t+1)

t \to 0 lim (ln (t + 1))

y^{''}+6y^'+8y=cos(3t)

y^{^{''}} + 6 y^{^{'}} + 8 y = cos (3 t)