integral of sec(a)x

Lösung

\int sec (a) x d x

\frac{1}{2} x^{2} sec (a) + C

Schritte zur Lösung

\int sec (a) x d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= sec (a) \cdot \int x d x

Wende die Potenzregel an

= sec (a) \frac{x ^{2}}{2}

Vereinfache

sec (a) \frac{x ^{2}}{2} : \frac{1}{2} x^{2} sec (a)

= \frac{1}{2} x^{2} sec (a)

Füge eine Konstante zur Lösung hinzu

= \frac{1}{2} x^{2} sec (a) + C

\frac{\partial}{\partial x} (4 x^{3} + z^{2})

\frac{d}{d x} ((r (x) (x)^{2} - x^{2})^{\frac{1}{2}})

t an g e n t f (x) = sin (3 x), (\frac{π}{18}, \frac{2}{2})

\frac{d}{d x} (sin^{2} (b x) + x^{2} + 1)

\int \frac{3 x - 6}{x ^{2} - 4 x + 5} d x