What is the integral from 0 to pi/3 of sin(x)cos(x) ?

The integral from 0 to pi/3 of sin(x)cos(x) is 3/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 0 to pi/3 of sin(x)cos(x)

\int_{0}^{\frac{π}{3}} sin (x) cos (x) d x

\frac{3}{8}

Decimal

0.375

Solution steps

\int_{0}^{\frac{π}{3}} sin (x) cos (x) d x

Apply u-substitution

= \int_{0}^{\frac{3}{2}} u d u

Apply the Power Rule

= [\frac{u ^{2}}{2}]_{0}^{\frac{3}{2}}

Compute the boundaries:

\frac{3}{8}

= \frac{3}{8}

What is the integral from 0 to pi/3 of sin(x)cos(x) ?
The integral from 0 to pi/3 of sin(x)cos(x) is 3/8