de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from-1 to 1 of (arccos(x))^2

Lösung

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

Lösung

π^{2} - 4

+1

Dezimale

5.86960 \dots

Schritte zur Lösung

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

Vereinfache

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

Wende die partielle Integration an

= [x arccos^{2} (x) - \int - \frac{2 x arccos ( x )}{1 - x ^{2}} d x]_{- 1}^{1}

\int - \frac{2 x arccos ( x )}{1 - x ^{2}} d x = 2 (arccos (x) 1 - x^{2} + x)

= [x arccos^{2} (x) - 2 (arccos (x) 1 - x^{2} + x)]_{- 1}^{1}

Berechne die Grenzen:

π^{2} - 4

= π^{2} - 4

Graph

Beliebte Beispiele

integral from 1 to 3 of 1/t

\int_{1}^{3} \frac{1}{t} d t

integral from 0 to 1 of-t^2

\int_{0}^{1} - t^{2} d t

integral from 0 to ln(7) of e^{x-e^x}

\int_{0}^{l n (7)} e^{x - e^{x}} d x

integral from 0 to 2 of y^4

\int_{0}^{2} y^{4} d y

integral from 1 to 2 of 1/(xsqrt(4-x^2))

\int_{1}^{2} \frac{1}{x 4 - x ^{2}} d x