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

The integral from 0 to pi of 3xsin(x) is 3pi

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integral from 0 to pi of 3xsin(x)

\int_{0}^{π} 3 x sin (x) d x

3 π

Decimal

9.42477 \dots

Solution steps

\int_{0}^{π} 3 x sin (x) d x

Take the constant out:

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

= 3 \cdot \int_{0}^{π} x sin (x) d x

Apply Integration By Parts

= 3 [- x cos (x) - \int - cos (x) d x]_{0}^{π}

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

= 3 [- x cos (x) - (- sin (x))]_{0}^{π}

Simplify

= 3 [- x cos (x) + sin (x)]_{0}^{π}

Compute the boundaries:

π

= 3 π

in v erse l a pl a ce \frac{s}{s ^{4} + 4}

\frac{d}{d x} (20 cos (x))

\frac{\partial}{\partial x} (5 x^{2} + y^{2})

\int 4 x ln (7 x) d x

\frac{d v}{d t} = 9.8 - 0.6

What is the integral from 0 to pi of 3xsin(x) ?
The integral from 0 to pi of 3xsin(x) is 3pi