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

The integral from pi/3 to pi of cos(x) is -(sqrt(3))/2

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

\int_{\frac{π}{3}}^{π} cos (x) d x

- \frac{3}{2}

Decimal

- 0.86602 \dots

Solution steps

\int_{\frac{π}{3}}^{π} cos (x) d x

Use the common integral:

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

= [sin (x)]_{\frac{π}{3}}^{π}

Compute the boundaries:

- \frac{3}{2}

= - \frac{3}{2}

\int_{1}^{2} \frac{x ^{- 2}}{2} d x

\int_{0}^{2} - 2 d x

\int_{0}^{2 π} 2 cos (x) d x

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

\int_{0}^{s i n (x)} 1 - x^{2} d x

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