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Beliebt Rechnen >

integral of 2^x+2x

Lösung

\int 2^{x} + 2 x d x

Lösung

\frac{2 ^{x}}{ln ( 2 )} + x^{2} + C

Schritte zur Lösung

\int 2^{x} + 2 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 2^{x} d x + \int 2 x d x

\int 2^{x} d x = \frac{2 ^{x}}{ln ( 2 )}

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

= \frac{2 ^{x}}{ln ( 2 )} + x^{2}

Füge eine Konstante zur Lösung hinzu

= \frac{2 ^{x}}{ln ( 2 )} + x^{2} + C

Graph

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

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\int \frac{t}{( t ^{2} + 1 ) ^{2}} d t

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