What is the integral from-4 to 4 of 1/(1+x^2) ?

The integral from-4 to 4 of 1/(1+x^2) is 2arctan(4)

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

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

2 arctan (4)

Decimal Notation

2.65163 \dots

Solution steps

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

Use the common integral:

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

= [arctan (x)]_{- 4}^{4}

Compute the boundaries:

2 arctan (4)

= 2 arctan (4)

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What is the integral from-4 to 4 of 1/(1+x^2) ?
The integral from-4 to 4 of 1/(1+x^2) is 2arctan(4)