What is the integral from 0 to pi of 3sin(θ) ?

The integral from 0 to pi of 3sin(θ) is 6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 0 to pi of 3sin(θ)

\int_{0}^{π} 3 sin (θ) d θ

6

Solution steps

\int_{0}^{π} 3 sin (θ) d θ

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 3 \cdot \int_{0}^{π} sin (θ) d θ

Use the common integral:

\int sin (θ) d θ = - cos (θ)

= 3 [- cos (θ)]_{0}^{π}

Compute the boundaries:

2

= 3 \cdot 2

Simplify

= 6

What is the integral from 0 to pi of 3sin(θ) ?
The integral from 0 to pi of 3sin(θ) is 6