What is the integral from-pi to pi of (x+pi) ?

The integral from-pi to pi of (x+pi) is 2pi^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from-pi to pi of (x+pi)

\int_{- π}^{π} (x + π) d x

2 π^{2}

Decimal

19.73920 \dots

Solution steps

\int_{- π}^{π} x + π d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- π}^{π} x d x + \int_{- π}^{π} π d x

\int_{- π}^{π} x d x = 0

\int_{- π}^{π} π d x = 2 π^{2}

= 0 + 2 π^{2}

Simplify

= 2 π^{2}

What is the integral from-pi to pi of (x+pi) ?
The integral from-pi to pi of (x+pi) is 2pi^2