What is the integral from pi/2 to (3pi)/4 of 1 ?

The integral from pi/2 to (3pi)/4 of 1 is pi/4

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integral from pi/2 to (3pi)/4 of 1

\int_{\frac{π}{2}}^{\frac{3 π}{4}} 1

\frac{π}{4}

Solution steps

\int_{\frac{π}{2}}^{\frac{3 π}{4}} 1 d x

Integral of a constant:

\int a d x = a x

= [1 \cdot x]_{\frac{π}{2}}^{\frac{3 π}{4}}

Simplify

= [x]_{\frac{π}{2}}^{\frac{3 π}{4}}

Compute the boundaries:

\frac{π}{4}

= \frac{π}{4}

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What is the integral from pi/2 to (3pi)/4 of 1 ?
The integral from pi/2 to (3pi)/4 of 1 is pi/4