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

The integral from pi/3 to pi of sin(θ) is 3/2

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integral from pi/3 to pi of sin(θ)

\int_{\frac{π}{3}}^{π} sin (θ) d θ

\frac{3}{2}

Decimal

1.5

Solution steps

\int_{\frac{π}{3}}^{π} sin (θ) d θ

Use the common integral:

\int sin (θ) d θ = - cos (θ)

= [- cos (θ)]_{\frac{π}{3}}^{π}

Compute the boundaries:

\frac{3}{2}

= \frac{3}{2}

\int_{- 2}^{1} x^{2} e^{2 x^{3} + 4} d x

\int_{1}^{3} 2 d x

\int_{1}^{3} \frac{3 x ^{3} - 6 x ^{2} + 2}{x} d x

\int_{e}^{4} \frac{1}{2 x} d x

\int_{1}^{4} \frac{1}{x ( 1 + x )} d x

What is the integral from pi/3 to pi of sin(θ) ?
The integral from pi/3 to pi of sin(θ) is 3/2