What is the integral from 0 to pi of sec^2(pi/3) ?

The integral from 0 to pi of sec^2(pi/3) is 4pi

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integral from 0 to pi of sec^2(pi/3)

\int_{0}^{π} sec^{2} (\frac{π}{3}) d x

4 π

Decimal

12.56637 \dots

Solution steps

\int_{0}^{π} sec^{2} (\frac{π}{3}) d x

Integral of a constant:

\int a d x = a x

= [sec^{2} (\frac{π}{3}) x]_{0}^{π}

Simplify

[sec^{2} (\frac{π}{3}) x]_{0}^{π} : [4 x]_{0}^{π}

= [4 x]_{0}^{π}

Compute the boundaries:

4 π

= 4 π

What is the integral from 0 to pi of sec^2(pi/3) ?
The integral from 0 to pi of sec^2(pi/3) is 4pi