What is the integral from pi/6 to pi/2 of 1 ?

The integral from pi/6 to pi/2 of 1 is pi/3

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integral from pi/6 to pi/2 of 1

\int_{\frac{π}{6}}^{\frac{π}{2}} 1

\frac{π}{3}

Decimal

1.04719 \dots

Solution steps

\int_{\frac{π}{6}}^{\frac{π}{2}} 1 d x

Integral of a constant:

\int a d x = a x

= [1 \cdot x]_{\frac{π}{6}}^{\frac{π}{2}}

Simplify

= [x]_{\frac{π}{6}}^{\frac{π}{2}}

Compute the boundaries:

\frac{π}{3}

= \frac{π}{3}

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What is the integral from pi/6 to pi/2 of 1 ?
The integral from pi/6 to pi/2 of 1 is pi/3