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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

\int sin (3 x) d x = - \frac{1}{3} cos (3 x)

\int cos (5 x) d x = \frac{1}{5} sin (5 x)

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

inverselaplace (3s+3)/(s^2-9)

in v erse l a pl a ce \frac{3 s + 3}{s ^{2} - 9}

(\partial)/(\partial x)(sqrt(2(x+c)))

\frac{\partial}{\partial x} (2 (x + c))

integral of 3t^3

\int 3 t^{3} d t

derivative f(x)=ln(1+x)

d er i v a t i v e f (x) = ln (1 + x)

integral of (ax+b)^n

\int (a x + b)^{n} d x