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Beliebt Rechnen >

integral of t^2sin(Bt)

Lösung

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

Lösung

- \frac{1}{B} t^{2} cos (Bt) + \frac{2}{B ^{3}} (Bt sin (Bt) + cos (Bt)) + C

Schritte zur Lösung

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

Wende die partielle Integration an

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

\int - \frac{2}{B} t cos (Bt) d t = - \frac{2}{B ^{3}} (Bt sin (Bt) + cos (Bt))

= - \frac{1}{B} t^{2} cos (Bt) - (- \frac{2}{B ^{3}} (Bt sin (Bt) + cos (Bt)))

Vereinfache

= - \frac{1}{B} t^{2} cos (Bt) + \frac{2}{B ^{3}} (Bt sin (Bt) + cos (Bt))

Füge eine Konstante zur Lösung hinzu

= - \frac{1}{B} t^{2} cos (Bt) + \frac{2}{B ^{3}} (Bt sin (Bt) + cos (Bt)) + C

Graph

Beliebte Beispiele

integral of (x^7)/(x^8)

\int \frac{x ^{7}}{x ^{8}} d x

integral of (4x-11)/((x-5)(2x-1))

\int \frac{4 x - 11}{( x - 5 ) ( 2 x - 1 )} d x

integral of tan^2(3-2x)

\int tan^{2} (3 - 2 x) d x

integral of (cos(5/2)x)^4

\int (cos (\frac{5}{2}) x)^{4} d x

integral of cos(6x)cos(7x)

\int cos (6 x) cos (7 x) d x