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

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

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

\int_{\frac{π}{3}}^{π} (sin (x)) d x

\frac{3}{2}

Decimal

1.5

Solution steps

\int_{\frac{π}{3}}^{π} sin (x) d x

Use the common integral:

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

= [- cos (x)]_{\frac{π}{3}}^{π}

Compute the boundaries:

\frac{3}{2}

= \frac{3}{2}

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

\int_{0}^{1} (x^{2} - 2 x + 4) d x

\int_{0}^{4} (14 - t) t d t

\int_{1}^{- 1} (6 r + 5)^{2} d r

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

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