de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from-pi to pi of e^{-inx}

Lösung

\int_{- π}^{π} e^{- in x} d x

Lösung

0

Schritte zur Lösung

\int_{- π}^{π} e^{- in x} d x

Vereinfache

e^{- in x} : cos (n x) - i sin (n x)

= \int_{- π}^{π} cos (n x) - i sin (n 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_{- π}^{π} cos (n x) d x - \int_{- π}^{π} i sin (n x) d x

\int_{- π}^{π} cos (n x) d x = 0

\int_{- π}^{π} i sin (n x) d x = 0

= 0 - 0

Vereinfache

= 0

Beliebte Beispiele

derivative f(x)= 4/(sqrt(x))

d er i v a t i v e f (x) = \frac{4}{x}

derivative of (3x(4-x)/(5x^2))

\frac{d}{d x} (\frac{3 x ( 4 - x )}{5 x ^{2}})

limit as x approaches 0 of (sin(3x))/x+2

x \to 0 lim (\frac{sin ( 3 x )}{x} + 2)

1/(x^4)(dy)/(dx)=19+15y

\frac{1}{x ^{4}} \frac{d y}{d x} = 19 + 15 y

(d^2)/(dx^2)(t^3(e)^{3t})

\frac{d ^{2}}{d x ^{2}} (t^{3} (e)^{3 t})