de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 0 to 20 of cos(pix)

Lösung

\int_{0}^{20} cos (π x) d x

Lösung

0

Schritte zur Lösung

\int_{0}^{20} cos (π x) d x

Wende U-Substitution an

= \int_{0}^{π 20} cos (u) \frac{1}{π} d u

Entferne die Konstante:

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

= \frac{1}{π} \cdot \int_{0}^{π 20} cos (u) d u

Nutze das gemeinsame Integral :

\int cos (u) d u = sin (u)

= \frac{1}{π} [sin (u)]_{0}^{π 20}

Berechne die Grenzen:

0

= \frac{1}{π} \cdot 0

Vereinfache

= 0

Graph

Beliebte Beispiele

limit as x approaches 0 of (x^2)/x

x \to 0 lim (\frac{x ^{2}}{x})

derivative of x^2sin(pix)

\frac{d}{d x} (x^{2} sin (π x))

(dy)/(dx)=ysec^2(x)

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

3 y^{^{''}} + 108 y = 0

integral of (x-3)(sqrt(x+3))

\int (x - 3) (x + 3) d x