What is the integral from pi/6 to pi/2 of sin(x) ?

The integral from pi/6 to pi/2 of sin(x) is (sqrt(3))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from pi/6 to pi/2 of sin(x)

\int_{\frac{π}{6}}^{\frac{π}{2}} sin (x) d x

\frac{3}{2}

Decimal

0.86602 \dots

Solution steps

\int_{\frac{π}{6}}^{\frac{π}{2}} sin (x) d x

Use the common integral:

\int sin (x) d x = - cos (x)

= [- cos (x)]_{\frac{π}{6}}^{\frac{π}{2}}

Compute the boundaries:

\frac{3}{2}

= \frac{3}{2}

\int_{0}^{1} x^{4} 1 - x^{2} d x

\int_{1}^{e^{1}} x ln (x) d x

\int_{4}^{8} x - 4 d x

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

\int_{- 9}^{0} 81 - x^{2} d x

What is the integral from pi/6 to pi/2 of sin(x) ?
The integral from pi/6 to pi/2 of sin(x) is (sqrt(3))/2