What is the integral of xsin(15-x) ?

The integral of xsin(15-x) is xcos(15-x)+sin(15-x)+C

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integral of xsin(15-x)

\int x sin (15 - x) d x

x cos (15 - x) + sin (15 - x) + C

Solution steps

\int x sin (15 - x) d x

Apply Integration By Parts

: x cos (15 - x) - \int cos (15 - x) d x

= x cos (15 - x) - \int cos (15 - x) d x

\int cos (15 - x) d x = - sin (15 - x)

= x cos (15 - x) - (- sin (15 - x))

Simplify

= x cos (15 - x) + sin (15 - x)

Add a constant to the solution

= x cos (15 - x) + sin (15 - x) + C

\int \frac{1}{cos ( 2 x )} d x

x \to 0 lim (e^{x l n (x)})

\int \frac{1}{x ^{4} x ^{2} - 5} d x

\frac{\partial}{\partial x} (cos (x + y + z))

k = 1 \sum \infty \frac{2}{3} (1.5)^{k - 1}

What is the integral of xsin(15-x) ?
The integral of xsin(15-x) is xcos(15-x)+sin(15-x)+C