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Beliebt Rechnen >

integral of x^2(8x-3)

Lösung

\int x^{2} (8 x - 3) d x

Lösung

\frac{8}{3} x^{4} - x^{3} - \frac{2 x ^{4}}{3} + C

Schritte zur Lösung

\int x^{2} (8 x - 3) d x

Wende die partielle Integration an

= \frac{1}{3} x^{3} (8 x - 3) - \int \frac{8 x ^{3}}{3} d x

\int \frac{8 x ^{3}}{3} d x = \frac{2 x ^{4}}{3}

= \frac{1}{3} x^{3} (8 x - 3) - \frac{2 x ^{4}}{3}

Multipliziere aus

\frac{1}{3} x^{3} (8 x - 3) : \frac{8}{3} x^{4} - x^{3}

= \frac{8}{3} x^{4} - x^{3} - \frac{2 x ^{4}}{3}

Füge eine Konstante zur Lösung hinzu

= \frac{8}{3} x^{4} - x^{3} - \frac{2 x ^{4}}{3} + C

Graph

Beliebte Beispiele

integral of (x^3+2)/(x^3)sqrt(x-1/(x^2))

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

integral of sin^6(5x)

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

integral of 1/((sin(x))^2)

\int \frac{1}{( sin ( x ) ) ^{2}} d x

sum from n=1 to infinity of (2/3)^{n+1}

n = 1 \sum \infty (\frac{2}{3})^{n + 1}

derivative f(x)=sin(x^2+2x+3)

d er i v a t i v e f (x) = sin (x^{2} + 2 x + 3)