What is the integral from 0 to 1 of-cos(x) ?

The integral from 0 to 1 of-cos(x) is -sin(1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 0 to 1 of-cos(x)

\int_{0}^{1} - cos (x) d x

- sin (1)

Decimal

- 0.84147 \dots

Solution steps

\int_{0}^{1} - cos (x) d x

Take the constant out:

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

= - \int_{0}^{1} cos (x) d x

Use the common integral:

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

= - [sin (x)]_{0}^{1}

Compute the boundaries:

sin (1)

= - sin (1)

What is the integral from 0 to 1 of-cos(x) ?
The integral from 0 to 1 of-cos(x) is -sin(1)