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Beliebt Rechnen >

integral of e^xcos(y)+yz

Lösung

\int e^{x} cos (y) + yz d x

Lösung

cos (y) e^{x} + yz x + C

Schritte zur Lösung

\int e^{x} cos (y) + yz 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 cos (y) e^{x} d x + \int yz d x

\int cos (y) e^{x} d x = cos (y) e^{x}

\int yz d x = yz x

= cos (y) e^{x} + yz x

Füge eine Konstante zur Lösung hinzu

= cos (y) e^{x} + yz x + C

Graph

Beliebte Beispiele

derivative of x!

\frac{d}{d x} (x!)

derivative of log_{3}(x+3)

\frac{d}{d x} (lo g_{3} (x + 3))

integral of 6x^5(x^6)^5

\int 6 x^{5} (x^{6})^{5} d x

integral of (3t^2+2)/((t^3+2t+3)^5)

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

(\partial)/(\partial y)(cos(x+y))

\frac{\partial}{\partial y} (cos (x + y))