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

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

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integral from 0 to pi of xsin(x)

\int_{0}^{π} x sin (x) d x

π

Decimal Notation

3.14159 \dots

Solution steps

\int_{0}^{π} x sin (x) d x

Apply Integration By Parts

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

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

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

= [- x cos (x) - (- sin (x))]_{0}^{π}

Simplify

= [- x cos (x) + sin (x)]_{0}^{π}

Compute the boundaries:

π

= π

\frac{d}{d x} ((- 2 x^{2} - 2 x + 3)^{5})

\int cos (x) sin (x) cos^{2} (x) + 1 d x

\int_{0}^{x} e^{x^{2}} x d x

\frac{\partial}{\partial x} (\frac{8 y}{x ^{5}})

f (x) = \frac{1}{2 x + 1}

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