What is the integral from 0 to pi/3 of 1 ?

The integral from 0 to pi/3 of 1 is pi/3

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integral from 0 to pi/3 of 1

\int_{0}^{\frac{π}{3}} 1

\frac{π}{3}

Decimal

1.04719 \dots

Solution steps

\int_{0}^{\frac{π}{3}} 1 d x

Integral of a constant:

\int a d x = a x

= [1 \cdot x]_{0}^{\frac{π}{3}}

Simplify

= [x]_{0}^{\frac{π}{3}}

Compute the boundaries:

\frac{π}{3}

= \frac{π}{3}

What is the integral from 0 to pi/3 of 1 ?
The integral from 0 to pi/3 of 1 is pi/3