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Beliebt Rechnen >

integral of x^4+x^2

Lösung

\int x^{4} + x^{2} d x

Lösung

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

Schritte zur Lösung

\int x^{4} + x^{2} 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 x^{2} d x

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

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

= \frac{x ^{5}}{5} + \frac{x ^{3}}{3}

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of ((y^2)/(y+1))

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

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

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

integral of (e^x)/(sqrt(5-e^{2x))}

\int \frac{e ^{x}}{5 - e ^{2 x}} d x

integral of sin^2(x)+cos^2(x)-1

\int sin^{2} (x) + cos^{2} (x) - 1 d x

integral of (x^7)/((1-x^2)^5)

\int \frac{x ^{7}}{( 1 - x ^{2} ) ^{5}} d x