What is the integral of (x)sin(x) ?

The integral of (x)sin(x) is -xcos(x)+sin(x)+C

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integral of (x)sin(x)

\int (x) sin (x) d x

- x cos (x) + sin (x) + C

Solution steps

\int x sin (x) d x

Apply Integration By Parts

: - x cos (x) - \int - cos (x) d x

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

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

= - x cos (x) - (- sin (x))

Simplify

= - x cos (x) + sin (x)

Add a constant to the solution

= - x cos (x) + sin (x) + C

\frac{d}{d x} (ln (8 - x^{2}))

y = arcsin (5 x + 1)

\frac{\partial}{\partial x} (y^{5} cos (4 x))

\frac{\partial}{\partial x} ((x^{2} + y^{2})^{- \frac{15}{2}} x)

x \to 0 - lim (\frac{3}{x})

What is the integral of (x)sin(x) ?
The integral of (x)sin(x) is -xcos(x)+sin(x)+C