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Beliebt Rechnen >

integral of-sin(x)+e^x+3x^2

Lösung

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

Lösung

cos (x) + e^{x} + x^{3} + C

Schritte zur Lösung

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

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

\int e^{x} d x = e^{x}

\int 3 x^{2} d x = x^{3}

= - (- cos (x)) + e^{x} + x^{3}

Vereinfache

= cos (x) + e^{x} + x^{3}

Füge eine Konstante zur Lösung hinzu

= cos (x) + e^{x} + x^{3} + C

Graph

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