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Beliebt Rechnen >

integral of 3/4 x^2-5x^3

Lösung

\int \frac{3}{4} x^{2} - 5 x^{3} d x

Lösung

\frac{x ^{3}}{4} - \frac{5 x ^{4}}{4} + C

Schritte zur Lösung

\int \frac{3}{4} x^{2} - 5 x^{3} 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 \frac{3}{4} x^{2} d x - \int 5 x^{3} d x

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

\int 5 x^{3} d x = \frac{5 x ^{4}}{4}

= \frac{x ^{3}}{4} - \frac{5 x ^{4}}{4}

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{3}}{4} - \frac{5 x ^{4}}{4} + C

Graph

Beliebte Beispiele

integral of sin^3(1)

\int sin^{3} (1) d x

sum from n=0 to infinity of 2^n0.5^n

n = 0 \sum \infty 2^{n} 0. 5^{n}

derivative of 2x+ln(x)

\frac{d}{d x} (2 x + ln (x))

derivative y= 1/(1-x)

d er i v a t i v e y = \frac{1}{1 - x}

derivative (x^2+5)/x

d er i v a t i v e \frac{x ^{2} + 5}{x}