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 Notation

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{x ^{4} - 5 x ^{2} + 2 x}{5 x ^{2}} d x

6 + \frac{4}{x} + \frac{6}{x ^{2}}

\int 4^{x} (4^{x} + 1)^{3} d x

(- \frac{1}{2}, 1), (- 2, \frac{1}{2})

\frac{d}{d x} (sin (x^{3} + 2))

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