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

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

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

\int_{0}^{\frac{π}{3}} cos (x) d x

\frac{3}{2}

Decimal

0.86602 \dots

Solution steps

\int_{0}^{\frac{π}{3}} cos (x) d x

Use the common integral:

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

= [sin (x)]_{0}^{\frac{π}{3}}

Compute the boundaries:

\frac{3}{2}

= \frac{3}{2}

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

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

\int_{0}^{4} 6 x^{3} - 3 x d x

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

\int_{- 1}^{1} ∣ x ∣ - 1 d x

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