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

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

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

\int_{\frac{π}{4}}^{\frac{3 π}{4}} 1

\frac{π}{2}

Decimal Notation

1.57079 \dots

Solution steps

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

Integral of a constant:

\int a d x = a x

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

Simplify

= [x]_{\frac{π}{4}}^{\frac{3 π}{4}}

Compute the boundaries:

\frac{π}{2}

= \frac{π}{2}

\int_{- π}^{π} sin (2 x) sin (x) d x

\int_{π}^{2 π} sin (t) sin (n t) d t

\int_{- 1}^{1} 4 x^{2} + 7 d x

\int_{0}^{4} 6 e^{2 t} d t

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

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