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Beliebt Rechnen >

integral of (3x+2)sin(5x)

Lösung

\int (3 x + 2) sin (5 x) d x

Lösung

- \frac{1}{5} cos (5 x) (3 x + 2) + \frac{3}{25} sin (5 x) + C

Schritte zur Lösung

\int (3 x + 2) sin (5 x) d x

Wende die partielle Integration an

= - \frac{1}{5} cos (5 x) (3 x + 2) - \int - \frac{3}{5} cos (5 x) d x

\int - \frac{3}{5} cos (5 x) d x = - \frac{3}{25} sin (5 x)

= - \frac{1}{5} cos (5 x) (3 x + 2) - (- \frac{3}{25} sin (5 x))

Vereinfache

= - \frac{1}{5} cos (5 x) (3 x + 2) + \frac{3}{25} sin (5 x)

Füge eine Konstante zur Lösung hinzu

= - \frac{1}{5} cos (5 x) (3 x + 2) + \frac{3}{25} sin (5 x) + C

Graph

Beliebte Beispiele

integral of (10)/(5x^2-2x^3)

\int \frac{10}{5 x ^{2} - 2 x ^{3}} d x

integral of sin^{-5}(y)cos^7(y)

\int sin^{- 5} (y) cos^{7} (y) d y

integral of (900)/((2x+3)^3)

\int \frac{900}{( 2 x + 3 ) ^{3}} d x

integral of (x-70)/(x^2(x+5))

\int \frac{x - 70}{x ^{2} ( x + 5 )} d x

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

\int 2 x^{2} + 1 x d x