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Beliebt Rechnen >

integral of (10x^4-2sec^2(x))

Lösung

\int (10 x^{4} - 2 sec^{2} (x)) d x

Lösung

2 x^{5} - 2 tan (x) + C

Schritte zur Lösung

\int 10 x^{4} - 2 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 10 x^{4} d x - \int 2 sec^{2} (x) d x

\int 10 x^{4} d x = 2 x^{5}

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

= 2 x^{5} - 2 tan (x)

Füge eine Konstante zur Lösung hinzu

= 2 x^{5} - 2 tan (x) + C

Graph

Beliebte Beispiele

maclaurin (1+x)^{-2}

ma c l a u r in (1 + x)^{- 2}

limit as n approaches infinity of (2n^5-3n^4+8)/(3n^5+1)

n \to \infty lim (\frac{2 n ^{5} - 3 n ^{4} + 8}{3 n ^{5} + 1})

f (x) = 3 x - 4

integral from 1 to 2 of 6e^{6x}

\int_{1}^{2} 6 e^{6 x} d x

derivative (2x)^{6x}

d er i v a t i v e (2 x)^{6 x}