What is the integral from-sqrt(3) to 1 of 1/(1+x^2) ?

The integral from-sqrt(3) to 1 of 1/(1+x^2) is (7pi)/(12)

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integral from-sqrt(3) to 1 of 1/(1+x^2)

\int_{- 3}^{1} \frac{1}{1 + x ^{2}} d x

\frac{7 π}{12}

Decimal

1.83259 \dots

Solution steps

\int_{- 3}^{1} \frac{1}{1 + x ^{2}} d x

Use the common integral:

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

= [arctan (x)]_{- 3}^{1}

Compute the boundaries:

\frac{7 π}{12}

= \frac{7 π}{12}

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What is the integral from-sqrt(3) to 1 of 1/(1+x^2) ?
The integral from-sqrt(3) to 1 of 1/(1+x^2) is (7pi)/(12)