What is the integral from 0 to 4pi of sqrt(1/2) ?

The integral from 0 to 4pi of sqrt(1/2) is 2sqrt(2)pi

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integral from 0 to 4pi of sqrt(1/2)

\int_{0}^{4 π} \frac{1}{2}

22 π

Decimal

8.88576 \dots

Solution steps

\int_{0}^{4 π} \frac{1}{2} d x

Integral of a constant:

\int a d x = a x

= [\frac{1}{2} x]_{0}^{4 π}

Compute the boundaries:

22 π

= 22 π

What is the integral from 0 to 4pi of sqrt(1/2) ?
The integral from 0 to 4pi of sqrt(1/2) is 2sqrt(2)pi