What is the integral from 0 to pi of 5sin(x) ?

The integral from 0 to pi of 5sin(x) is 10

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integral from 0 to pi of 5sin(x)

\int_{0}^{π} 5 sin (x) d x

10

Solution steps

\int_{0}^{π} 5 sin (x) d x

Take the constant out:

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

= 5 \cdot \int_{0}^{π} sin (x) d x

Use the common integral:

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

= 5 [- cos (x)]_{0}^{π}

Compute the boundaries:

2

= 5 \cdot 2

Simplify

= 10

x \to 1 lim (\frac{x ^{2} - 4}{x - 2})

4 (5 - 9 x)^{5}

\int (\frac{6}{x} + \frac{x}{6}) d x

(1 + cos^{2} (x))^{9}

\frac{( 3 s + 4 )}{s ^{2} + 10 s + 21}

What is the integral from 0 to pi of 5sin(x) ?
The integral from 0 to pi of 5sin(x) is 10