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

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

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

\int_{0}^{\frac{2 π}{3}} sin (x) d x

\frac{3}{2}

Decimal Notation

1.5

Solution steps

\int_{0}^{\frac{2 π}{3}} sin (x) d x

Use the common integral:

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

= [- cos (x)]_{0}^{\frac{2 π}{3}}

Compute the boundaries:

\frac{3}{2}

= \frac{3}{2}

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\int_{2 + c o s (x)}^{x^{2} + 1} \frac{1}{x} d x

\int_{0}^{4} x x^{2} + 3 d x

\int_{0}^{1} (x^{2} + 4) e^{3 x} d x

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