integral of x^2(x+2)

Lösung

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

\frac{1}{3} x^{3} (x + 2) - \frac{x ^{4}}{12} + C

Schritte zur Lösung

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

Wende die partielle Integration an

= \frac{1}{3} x^{3} (x + 2) - \int \frac{x ^{3}}{3} d x

\int \frac{x ^{3}}{3} d x = \frac{x ^{4}}{12}

= \frac{1}{3} x^{3} (x + 2) - \frac{x ^{4}}{12}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{3} x^{3} (x + 2) - \frac{x ^{4}}{12} + C

\int_{0}^{1} x e^{8 x} d x

\int \frac{1}{x 4 - 9 ln ^{2} ( x )} d x

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d er i v a t i v e \frac{( x ^{2} - 1 ) ^{3}}{x ^{2} + 2}

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