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Beliebt Rechnen >

integral of (4sec(x)tan(x)+3sec^2(x))

Lösung

\int (4 sec (x) tan (x) + 3 sec^{2} (x)) d x

Lösung

4 sec (x) + 3 tan (x) + C

Schritte zur Lösung

\int 4 sec (x) tan (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 4 sec (x) tan (x) d x + \int 3 sec^{2} (x) d x

\int 4 sec (x) tan (x) d x = 4 sec (x)

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

= 4 sec (x) + 3 tan (x)

Füge eine Konstante zur Lösung hinzu

= 4 sec (x) + 3 tan (x) + C

Graph

Beliebte Beispiele

(\partial)/(\partial x)(-y^2)

\frac{\partial}{\partial x} (- y^{2})

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\int u^{- 3} \frac{1}{2} d u

(dy)/(dx)=xe^{-x}

\frac{d y}{d x} = x e^{- x}

integral from 0 to 7 of 5/3 x

\int_{0}^{7} \frac{5}{3} x d x

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in v erse l a pl a ce - \frac{1}{s ^{2} + ( 5 ) ^{2}}