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Beliebt Rechnen >

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

Lösung

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

Lösung

3 sin (x) - 2 cos (x) + C

Schritte zur Lösung

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

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 3 cos (x) d x + \int 2 sin (x) d x

\int 3 cos (x) d x = 3 sin (x)

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

= 3 sin (x) - 2 cos (x)

Füge eine Konstante zur Lösung hinzu

= 3 sin (x) - 2 cos (x) + C

Graph

Beliebte Beispiele

integral of (4x)/(x-5)

\int \frac{4 x}{x - 5} d x

integral of (x+5)^{3/2}

\int (x + 5)^{\frac{3}{2}} d x

integral of 1/(x^3(x-1))

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

integral of (x+2)/((x^2+4x+6)^5)

\int \frac{x + 2}{( x ^{2} + 4 x + 6 ) ^{5}} d x

integral of 5sin(x-6)+54x^8+9sin(x-6)

\int 5 sin (x - 6) + 54 x^{8} + 9 sin (x - 6) d x