de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of cot^3(10x)

Lösung

\int cot^{3} (10 x) d x

Lösung

\frac{1}{10} (- \frac{cot ^{2} ( 10 x )}{2} - ln ∣ sin (10 x) ∣) + C

Schritte zur Lösung

\int cot^{3} (10 x) d x

Wende U-Substitution an

= \int cot^{3} (u) \frac{1}{10} d u

Entferne die Konstante:

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

= \frac{1}{10} \cdot \int cot^{3} (u) d u

Wende integrale Reduktion an

= \frac{1}{10} (- \frac{cot ^{2} ( u )}{2} - \int cot (u) d u)

\int cot (u) d u = ln ∣ sin (u) ∣

= \frac{1}{10} (- \frac{cot ^{2} ( u )}{2} - ln ∣ sin (u) ∣)

Setze in

u = 10 x

ein

= \frac{1}{10} (- \frac{cot ^{2} ( 10 x )}{2} - ln ∣ sin (10 x) ∣)

Füge eine Konstante zur Lösung hinzu

= \frac{1}{10} (- \frac{cot ^{2} ( 10 x )}{2} - ln ∣ sin (10 x) ∣) + C

Graph

Beliebte Beispiele

2(d^2y)/(dx^2)+2(dy)/(dx)+y=1

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

derivative of cos(x^3+2x)

\frac{d}{d x} (cos (x^{3} + 2 x))

derivative 3x^{4/3}-2x^{1/7}

d er i v a t i v e 3 x^{\frac{4}{3}} - 2 x^{\frac{1}{7}}

limit as x approaches-3 of ((x^2+7x+12))/(x^2-9)

x \to - 3 lim (\frac{( x ^{2} + 7 x + 12 )}{x ^{2} - 9})

limit as x approaches 3 of (x^2-9)/(x+1)

x \to 3 lim (\frac{x ^{2} - 9}{x + 1})