What is the integral of xsin(9-x) ?

The integral of xsin(9-x) is xcos(9-x)+sin(9-x)+C

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integral of xsin(9-x)

\int x sin (9 - x) d x

x cos (9 - x) + sin (9 - x) + C

Solution steps

\int x sin (9 - x) d x

Apply Integration By Parts

: x cos (9 - x) - \int cos (9 - x) d x

= x cos (9 - x) - \int cos (9 - x) d x

\int cos (9 - x) d x = - sin (9 - x)

= x cos (9 - x) - (- sin (9 - x))

Simplify

= x cos (9 - x) + sin (9 - x)

Add a constant to the solution

= x cos (9 - x) + sin (9 - x) + C

\frac{d}{d x} (2 arctan (\frac{1}{x}))

7 t

\frac{d}{d x} (cot (π x))

x \to 2 + lim (\frac{x}{x - 3})

\frac{d}{d x} (lo g_{3} (x) \cdot (x^{3} + 2))

What is the integral of xsin(9-x) ?
The integral of xsin(9-x) is xcos(9-x)+sin(9-x)+C