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Beliebt Rechnen >

integral of (x^4-x^2y^4)

Lösung

\int (x^{4} - x^{2} y^{4}) d x

Lösung

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

Schritte zur Lösung

\int x^{4} - x^{2} y^{4} 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 x^{4} d x - \int y^{4} x^{2} d x

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of (8x^2)/(sqrt(x^3+2))

\int \frac{8 x ^{2}}{x ^{3} + 2} d x

integral of (x^2+3x+2)/(x^4-x^2)

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

integral of 15r^2

\int 15 r^{2} d r

integral of-sin(x)sin(y)

\int - sin (x) sin (y) d x

integral of 5sin(2x)e^x

\int 5 sin (2 x) e^{x} d x