What is the integral from x to 2/3 of 1 ?

The integral from x to 2/3 of 1 is 2/3-x

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integral from x to 2/3 of 1

\int_{x}^{\frac{2}{3}} 1 d x

\frac{2}{3} - x

Solution steps

\int_{x}^{\frac{2}{3}} 1 d x

Integral of a constant:

\int a d x = a x

= [1 \cdot x]_{x}^{\frac{2}{3}}

Simplify

= [x]_{x}^{\frac{2}{3}}

Compute the boundaries:

\frac{2}{3} - x

= \frac{2}{3} - x

What is the integral from x to 2/3 of 1 ?
The integral from x to 2/3 of 1 is 2/3-x