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

The integral of (x-pi)sin(x) is -cos(x)(x-pi)+sin(x)+C

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integral of (x-pi)sin(x)

\int (x - π) sin (x) d x

- cos (x) (x - π) + sin (x) + C

Solution steps

\int (x - π) sin (x) d x

Apply Integration By Parts

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

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

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

= - cos (x) (x - π) - (- sin (x))

Simplify

= - cos (x) (x - π) + sin (x)

Add a constant to the solution

= - cos (x) (x - π) + sin (x) + C

\int_{0}^{5} 1 d x

y^{^{''}} + y^{^{'}} - 6 y = 0, y (0) = 1, y^{^{'}} (0) = 1

1 + 2 x^{2}

ln (3 + x)

\frac{d y}{d x} + y = e^{4 x}

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