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Beliebt Rechnen >

integral of sec(2)(x)

Lösung

\int sec (2) (x) d x

Lösung

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

Schritte zur Lösung

\int sec (2) x d x

Entferne die Konstante:

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

= sec (2) \cdot \int x d x

Wende die Potenzregel an

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

Vereinfache

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

(d^2)/(dx^2)(5-x^2)

\frac{d ^{2}}{d x ^{2}} (5 - x^{2})

derivative (5x-1)/(x+5)

d er i v a t i v e \frac{5 x - 1}{x + 5}

(\partial)/(\partial x)(16sqrt(3x)+2y)

\frac{\partial}{\partial x} (16 3 x + 2 y)

integral of 1/((x+1)(2x+1)^2)

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

tangent x^3-3x^2-9x+11,\at x=3

t an g e n t x^{3} - 3 x^{2} - 9 x + 11, at x = 3