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Beliebt Rechnen >

integral of sin(x)x^2

Lösung

\int sin (x) x^{2} d x

Lösung

- x^{2} cos (x) + 2 (x sin (x) + cos (x)) + C

Schritte zur Lösung

\int sin (x) x^{2} d x

Wende die partielle Integration an

= - x^{2} cos (x) - \int - 2 x cos (x) d x

\int - 2 x cos (x) d x = - 2 (x sin (x) + cos (x))

= - x^{2} cos (x) - (- 2 (x sin (x) + cos (x)))

Vereinfache

= - x^{2} cos (x) + 2 (x sin (x) + cos (x))

Füge eine Konstante zur Lösung hinzu

= - x^{2} cos (x) + 2 (x sin (x) + cos (x)) + C

Graph

Beliebte Beispiele

y^{''}-(6/x)y^'-(8/(x^2))y=0

y^{^{''}} - (\frac{6}{x}) y^{^{'}} - (\frac{8}{x ^{2}}) y = 0

integral of cos^2(6x)

\int cos^{2} (6 x) d x

integral of (5x^2)/(x^4-1)

\int \frac{5 x ^{2}}{x ^{4} - 1} d x

integral of 5e^tsin(2t)

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

limit as x approaches 8 of log_{2}(x)

x \to 8 lim (lo g_{2} (x))