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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from pi/2 to (3pi)/4 of sin(x)

\int_{\frac{π}{2}}^{\frac{3 π}{4}} sin (x) d x

\frac{1}{2}

Decimal Notation

0.70710 \dots

Solution steps

\int_{\frac{π}{2}}^{\frac{3 π}{4}} sin (x) d x

Use the common integral:

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

= [- cos (x)]_{\frac{π}{2}}^{\frac{3 π}{4}}

Compute the boundaries:

\frac{1}{2}

= \frac{1}{2}

\int_{0}^{\frac{π}{2}} sin (t) cos (t) d t

\int_{0}^{3} - 2 x^{2} + 6 x d x

\int_{0}^{x^{3}} sin (t^{2}) d t

\int_{0}^{4} 2^{\frac{x}{2}} d x

\int_{0}^{5} \frac{x}{4} d x

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