What is the integral of xsin(7-x) ?

The integral of xsin(7-x) is xcos(7-x)+sin(7-x)+C

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integral of xsin(7-x)

\int x sin (7 - x) d x

x cos (7 - x) + sin (7 - x) + C

Solution steps

\int x sin (7 - x) d x

Apply Integration By Parts

: x cos (7 - x) - \int cos (7 - x) d x

= x cos (7 - x) - \int cos (7 - x) d x

\int cos (7 - x) d x = - sin (7 - x)

= x cos (7 - x) - (- sin (7 - x))

Simplify

= x cos (7 - x) + sin (7 - x)

Add a constant to the solution

= x cos (7 - x) + sin (7 - x) + C

\frac{d x}{d t} = x^{2} - 3

\int x^{3} 144 - x^{2} d x

\frac{d}{d x} (- 3 x^{2} + 6 x)

x e^{3 x} (2 + 3 x)

f (x) = x^{11} arccos (x)

What is the integral of xsin(7-x) ?
The integral of xsin(7-x) is xcos(7-x)+sin(7-x)+C