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Beliebt Rechnen >

integral of (-3cos(x)+4sec^2(x))

Lösung

\int (- 3 \cdot cos (x) + 4 \cdot sec^{2} (x)) d x

Lösung

- 3 sin (x) + 4 tan (x) + C

Schritte zur Lösung

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

\int 3 cos (x) d x = 3 sin (x)

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

= - 3 sin (x) + 4 tan (x)

Füge eine Konstante zur Lösung hinzu

= - 3 sin (x) + 4 tan (x) + C

Graph

Beliebte Beispiele

integral of 1/(sqrt(a-bx))

\int \frac{1}{a - b x} d x

derivative y=x^2-1

d er i v a t i v e y = x^{2} - 1

xy^'+y+yln(xy)=0

x y^{^{'}} + y + y ln (x y) = 0

limit as r approaches 0 of 1/(r^2)

r \to 0 lim (\frac{1}{r ^{2}})

integral of 6e^{-0.4x}

\int 6 e^{- 0.4 x} d x