What is the integral from-2 to 2 of 1/(x^2+1) ?

The integral from-2 to 2 of 1/(x^2+1) is 2arctan(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

2 arctan (2)

Decimal

2.21429 \dots

Solution steps

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

Use the common integral:

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

= [arctan (x)]_{- 2}^{2}

Compute the boundaries:

2 arctan (2)

= 2 arctan (2)

What is the integral from-2 to 2 of 1/(x^2+1) ?
The integral from-2 to 2 of 1/(x^2+1) is 2arctan(2)