What is the integral of ,^4xcos(x) ?

The integral of ,^4xcos(x) is ,^4(xsin(x)-(-cos(x)))+C

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integral of ,^4xcos(x)

,^{4} (x sin (x) - (- cos (x))) + C

Solution steps

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

Apply Integration By Parts

: x sin (x) - \int sin (x) d x

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

Add a constant to the solution

\frac{d}{d x} (\frac{2 x ^{2}}{3})

(1 + x)^{- \frac{3}{5}}

\frac{d}{d x} (17 e^{x^{2}})

y^{^{''}} + 8 y^{^{'}} = 0, y (0) = 1, y^{^{'}} (0) = 1

(x^{4} + 2)^{2} (x^{3} + 4)^{4}

What is the integral of ,^4xcos(x) ?
The integral of ,^4xcos(x) is ,^4(xsin(x)-(-cos(x)))+C