What is the integral from 0 to (2pi)/3 of cos(x) ?

The integral from 0 to (2pi)/3 of cos(x) is (sqrt(3))/2

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integral from 0 to (2pi)/3 of cos(x)

\int_{0}^{\frac{2 π}{3}} cos (x) d x

\frac{3}{2}

Decimal

0.86602 \dots

Solution steps

\int_{0}^{\frac{2 π}{3}} cos (x) d x

Use the common integral:

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

= [sin (x)]_{0}^{\frac{2 π}{3}}

Compute the boundaries:

\frac{3}{2}

= \frac{3}{2}

\int_{0}^{2} 1 + 4 t^{2} d t

\int_{1}^{8} 4 d x

\int_{- \infty}^{- 2} e^{x} d x

\int_{0}^{2 π} cos (4 x) d x

\int_{0}^{\frac{π}{2}} 2 x cos (2 x) d x

What is the integral from 0 to (2pi)/3 of cos(x) ?
The integral from 0 to (2pi)/3 of cos(x) is (sqrt(3))/2