What is the integral of xsin(11-x) ?

The integral of xsin(11-x) is xcos(11-x)+sin(11-x)+C

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integral of xsin(11-x)

\int x sin (11 - x) d x

x cos (11 - x) + sin (11 - x) + C

Solution steps

\int x sin (11 - x) d x

Apply Integration By Parts

: x cos (11 - x) - \int cos (11 - x) d x

= x cos (11 - x) - \int cos (11 - x) d x

\int cos (11 - x) d x = - sin (11 - x)

= x cos (11 - x) - (- sin (11 - x))

Simplify

= x cos (11 - x) + sin (11 - x)

Add a constant to the solution

= x cos (11 - x) + sin (11 - x) + C

\int \frac{1}{πn} sin (nπ x) d x

f (x) = x^{2} (3 + x)^{- 5}

\frac{d}{d t} (e^{t} (cos (t) - sin (t)))

f (x) = ln (25 sin (2) (x))

y^{^{''}} + \frac{1}{4} y = 0, y (π) = 1, y^{^{'}} (π) = - 3

What is the integral of xsin(11-x) ?
The integral of xsin(11-x) is xcos(11-x)+sin(11-x)+C