integral of 4x^3+sin(x)

Lösung

\int 4 x^{3} + sin (x) d x

x^{4} - cos (x) + C

Schritte zur Lösung

\int 4 x^{3} + 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 4 x^{3} d x + \int sin (x) d x

\int 4 x^{3} d x = x^{4}

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

= x^{4} - cos (x)

Füge eine Konstante zur Lösung hinzu

= x^{4} - cos (x) + C

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