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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{2 ^{2 x - 1}}{ln ( 2 )} - tan (x) + C

Schritte zur Lösung

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

\int 4^{x} d x = \frac{2 ^{2 x - 1}}{ln ( 2 )}

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

= \frac{2 ^{2 x - 1}}{ln ( 2 )} - tan (x)

Füge eine Konstante zur Lösung hinzu

= \frac{2 ^{2 x - 1}}{ln ( 2 )} - tan (x) + C

Graph

Beliebte Beispiele

integral of 1 (e^{-x}y)

\int \frac{d}{1} (e^{- x} y) d x

(dy)/(dx)=(x+y^2)/(2y),y(0)=1

\frac{d y}{d x} = \frac{x + y ^{2}}{2 y}, y (0) = 1

integral of (x^5)/(x^6-7)

\int \frac{x ^{5}}{x ^{6} - 7} d x

limit as θ approaches 0 of 1/11

θ \to 0 lim (\frac{1}{11})

laplacetransform sin^2(x)

l a pl a ce t r an s f or m sin^{2} (x)