What is the integral from 0 to pi of 20sin(x) ?

The integral from 0 to pi of 20sin(x) is 40

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integral from 0 to pi of 20sin(x)

\int_{0}^{π} 20 sin (x) d x

40

Solution steps

\int_{0}^{π} 20 sin (x) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 20 \cdot \int_{0}^{π} sin (x) d x

Use the common integral:

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

= 20 [- cos (x)]_{0}^{π}

Compute the boundaries:

2

= 20 \cdot 2

Simplify

= 40

\int_{0}^{1} (- x) d x

\int_{0}^{π} sin (6 x) cos (2 x) d x

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

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

\int_{0}^{4 π} sin^{2} (x) d x

What is the integral from 0 to pi of 20sin(x) ?
The integral from 0 to pi of 20sin(x) is 40