What is the integral from 0 to pi of sec^2(x ?

The integral from 0 to pi of sec^2(x is sec^2(d)(pi^2)/2

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integral from 0 to pi of sec^2(x

\int_{0}^{π} sec^{2} (d) x d x

sec^{2} (d) \frac{π ^{2}}{2}

Solution steps

\int_{0}^{π} sec^{2} (d) x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= sec^{2} (d) \cdot \int_{0}^{π} x d x

Apply the Power Rule

= sec^{2} (d) [\frac{x ^{2}}{2}]_{0}^{π}

Compute the boundaries:

\frac{π ^{2}}{2}

= sec^{2} (d) \frac{π ^{2}}{2}

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