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Beliebt Rechnen >

integral of x^8+sec^2(x)

Lösung

\int x^{8} + sec^{2} (x) d x

Lösung

\frac{x ^{9}}{9} + tan (x) + C

Schritte zur Lösung

\int x^{8} + 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^{8} d x + \int sec^{2} (x) d x

\int x^{8} d x = \frac{x ^{9}}{9}

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

= \frac{x ^{9}}{9} + tan (x)

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{9}}{9} + tan (x) + C

Graph

Beliebte Beispiele

integral of 2cos(2x)sin(2x)

\int 2 cos (2 x) sin (2 x) d x

integral of 2tan(t)

\int 2 tan (t) d t

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

integral of (2x)/(sqrt(4x^2+7))

\int \frac{2 x}{4 x ^{2} + 7} d x

integral of (3+x^2)^3

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