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Beliebt Rechnen >

integral of 3cos(x)-sin(x)

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

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

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

Vereinfache

= 3 sin (x) + cos (x)

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of (1/(x^5)-x^5-1/6)

\int (\frac{1}{x ^{5}} - x^{5} - \frac{1}{6}) d x

integral of e^{sin(x)}*sin(x)cos(x)

\int e^{s i n (x)} \cdot sin (x) cos (x) d x

integral of (x^2+1)/(x^2-2)

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

integral of 8 1/x

\int 8 \frac{1}{x} d x

integral of (-3x^2)

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