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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

\int_{\frac{π}{4}}^{\frac{3 π}{4}} 1

\frac{π}{2}

Decimal

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}

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