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)+csc^2(x))

Lösung

\int (sec (x) + csc^{2} (x)) d x

Lösung

ln ∣ tan (x) + sec (x) ∣ - cot (x) + C

Schritte zur Lösung

\int sec (x) + csc^{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 sec (x) d x + \int csc^{2} (x) d x

\int sec (x) d x = ln ∣ tan (x) + sec (x) ∣

\int csc^{2} (x) d x = - cot (x)

= ln ∣ tan (x) + sec (x) ∣ - cot (x)

Füge eine Konstante zur Lösung hinzu

= ln ∣ tan (x) + sec (x) ∣ - cot (x) + C

Graph

Beliebte Beispiele

integral of (1-e^{3x})^2

\int (1 - e^{3 x})^{2} d x

integral of 1/((sqrt(x^2+5))^3)

\int \frac{1}{( x ^{2} + 5 ) ^{3}} d x

integral of (2+x)/(x^2+4)

\int \frac{2 + x}{x ^{2} + 4} d x

integral of ln(x/y)

\int ln (\frac{x}{y}) d x

integral of x*cos^2(6*x)

\int x \cdot cos^{2} (6 \cdot x) d x