de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of ((sec(x)+cos(x))/(2cos(x)))

Lösung

\int (\frac{sec ( x ) + cos ( x )}{2 cos ( x )}) d x

Lösung

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

Schritte zur Lösung

\int \frac{sec ( x ) + cos ( x )}{2 cos ( x )} d x

Entferne die Konstante:

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

= \frac{1}{2} \cdot \int \frac{sec ( x ) + cos ( x )}{cos ( x )} d x

Multipliziere aus

\frac{sec ( x ) + cos ( x )}{cos ( x )} : \frac{sec ( x )}{cos ( x )} + 1

= \frac{1}{2} \cdot \int \frac{sec ( x )}{cos ( x )} + 1 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

= \frac{1}{2} (\int \frac{sec ( x )}{cos ( x )} d x + \int 1 d x)

\int \frac{sec ( x )}{cos ( x )} d x = tan (x)

\int 1 d x = x

= \frac{1}{2} (tan (x) + x)

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

laplacetransform (t-1)^4

l a pl a ce t r an s f or m (t - 1)^{4}

(\partial)/(\partial x)(sqrt(25-x^2))

\frac{\partial}{\partial x} (25 - x^{2})

(dy)/(dx)+1/(x+8)y=x^{-2}

\frac{d y}{d x} + \frac{1}{x + 8} y = x^{- 2}

e^xydy=(e^{-y}+e^{-2x-y})dx

e^{x} y d y = (e^{- y} + e^{- 2 x - y}) d x

limit as x approaches infinity of 2^2

x \to \infty lim (2^{2})