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

The integral from 0 to pi of asin(x) is a*2

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integral from 0 to pi of asin(x)

\int_{0}^{π} a sin (x) d x

a \cdot 2

Solution steps

\int_{0}^{π} a sin (x) d x

Take the constant out:

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

= a \cdot \int_{0}^{π} sin (x) d x

Use the common integral:

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

= a [- cos (x)]_{0}^{π}

Compute the boundaries:

2

= a \cdot 2

\int_{4}^{2} - 2 d x

\int_{4}^{9} \frac{2 + t}{t} d t

\int_{2}^{7} 5 arccot (x) d x

\int_{0}^{3} 5^{x} ln (5) d x

\int_{- 1}^{2} arctan (x) d x

What is the integral from 0 to pi of asin(x) ?
The integral from 0 to pi of asin(x) is a*2