What is the integral of xsin(1/11 x) ?

The integral of xsin(1/11 x) is -11xcos(1/11 x)+121sin(1/11 x)+C

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integral of xsin(1/11 x)

\int x sin (\frac{1}{11} x) d x

- 11 x cos (\frac{1}{11} x) + 121 sin (\frac{1}{11} x) + C

Solution steps

\int x sin (\frac{1}{11} x) d x

Apply Integration By Parts

: - 11 x cos (\frac{1}{11} x) - \int - 11 cos (\frac{1}{11} x) d x

= - 11 x cos (\frac{1}{11} x) - \int - 11 cos (\frac{1}{11} x) d x

\int - 11 cos (\frac{1}{11} x) d x = - 121 sin (\frac{1}{11} x)

= - 11 x cos (\frac{1}{11} x) - (- 121 sin (\frac{1}{11} x))

Simplify

= - 11 x cos (\frac{1}{11} x) + 121 sin (\frac{1}{11} x)

Add a constant to the solution

= - 11 x cos (\frac{1}{11} x) + 121 sin (\frac{1}{11} x) + C

\frac{\partial}{\partial y} (z^{2} e^{x y})

y^{^{''}} + 16 y^{^{'}} + 65 y = 0

\frac{d}{d x} (x^{2} - 25 ln (x^{2}))

f (x) = \frac{x}{x ^{2} - 6}

\int_{- 3}^{0} - x^{2} - 3 x d x

What is the integral of xsin(1/11 x) ?
The integral of xsin(1/11 x) is -11xcos(1/11 x)+121sin(1/11 x)+C