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Beliebt Rechnen >

integral of (sec^2(x)-7)

Lösung

\int (sec^{2} (x) - 7) d x

Lösung

tan (x) - 7 x + C

Schritte zur Lösung

\int sec^{2} (x) - 7 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 sec^{2} (x) d x - \int 7 d x

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

\int 7 d x = 7 x

= tan (x) - 7 x

Füge eine Konstante zur Lösung hinzu

= tan (x) - 7 x + C

Graph

Beliebte Beispiele

derivative f(x)=(3x)/(x-2)

d er i v a t i v e f (x) = \frac{3 x}{x - 2}

limit as h approaches 0 of ((h-1)^3+1)/h

h \to 0 lim (\frac{( h - 1 ) ^{3} + 1}{h})

derivative of sqrt(x)+7

\frac{d}{d x} (x + 7)

integral of [6cos(x)-2sec(x)tan(x)]

\int [6 cos (x) - 2 sec (x) tan (x)] d x

integral of sec(u)tan(u)

\int sec (u) tan (u) d u