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

Popular >

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}

\int_{0}^{4} y d y

\int_{0}^{π} x (- cos (x) + 1) d x

\int_{0}^{2 π} \frac{π - x}{2} d x

\int_{1}^{2} (7 x^{6} - 3 x^{2} + 2 x) d x

\int_{- π}^{π} x sin (2 x) d x

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))