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Beliebt Rechnen >

integral of (x^3-sec^2(x))

Lösung

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

Lösung

\frac{x ^{4}}{4} - tan (x) + C

Schritte zur Lösung

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

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

\int sec^{2} (x) d x = tan (x)

= \frac{x ^{4}}{4} - tan (x)

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{4}}{4} - tan (x) + C

Graph

Beliebte Beispiele

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

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

integral of tsec^2(t)

\int t sec^{2} (t) d t

integral of-ycos(xy)

\int - y cos (x y) d x

integral of (-cos(x))/(sin^3(x))

\int \frac{- cos ( x )}{sin ^{3} ( x )} d x

integral of (e^{x^2})/(x^3)

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