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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

- \frac{1}{2} - \frac{1}{2}

Decimal

- 1.20710 \dots

Solution steps

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

Use the common integral:

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

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

Compute the boundaries:

- \frac{1}{2} - \frac{1}{2}

= - \frac{1}{2} - \frac{1}{2}

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