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Beliebt Rechnen >

integral of (4x+3)cos(x)

Lösung

\int (4 x + 3) cos (x) d x

Lösung

sin (x) (4 x + 3) + 4 cos (x) + C

Schritte zur Lösung

\int (4 x + 3) cos (x) d x

Wende die partielle Integration an

= (4 x + 3) sin (x) - \int 4 sin (x) d x

\int 4 sin (x) d x = - 4 cos (x)

= (4 x + 3) sin (x) - (- 4 cos (x))

Vereinfache

= sin (x) (4 x + 3) + 4 cos (x)

Füge eine Konstante zur Lösung hinzu

= sin (x) (4 x + 3) + 4 cos (x) + C

Graph

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\int 4 e^{x} sec (e^{x} + 2) d x