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Beliebt Rechnen >

integral from 0 to pi of cos(nx)

Lösung

\int_{0}^{π} cos (n x) d x

Lösung

0

Schritte zur Lösung

\int_{0}^{π} cos (n x) d x

Wende U-Substitution an

= \int_{0}^{nπ} \frac{cos ( u )}{n} d u

Entferne die Konstante:

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

= \frac{1}{n} \cdot \int_{0}^{nπ} cos (u) d u

Nutze das gemeinsame Integral :

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

= \frac{1}{n} [sin (u)]_{0}^{nπ}

Berechne die Grenzen:

0

= \frac{1}{n} \cdot 0

Vereinfache

= 0

Beliebte Beispiele

integral from 0 to e of ln(x^2)

\int_{0}^{e} ln (x^{2}) d x

integral from-1 to 1 of (\sqrt[3]{x}-2)

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

tangent y= 3/(sqrt(x))

t an g e n t y = \frac{3}{x}

integral of sin^2(x)cos^2(2x)

\int sin^{2} (x) cos^{2} (2 x) d x

derivative of {f}(xsqrt(x))

\frac{d}{d x} (f (x) x)