What is the integral of xcos(4pi)x^2 ?

The integral of xcos(4pi)x^2 is (x^4)/4+C

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integral of xcos(4pi)x^2

\int x cos (4 π) x^{2} d x

\frac{x ^{4}}{4} + C

Solution steps

\int x cos (4 π) x^{2} d x

Simplify

x cos (4 π) x^{2} : x^{3}

= \int x^{3} d x

Apply the Power Rule

: \frac{x ^{4}}{4}

= \frac{x ^{4}}{4}

Add a constant to the solution

= \frac{x ^{4}}{4} + C

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

y = 2 x^{2}, y = 2 x + 6

ln (x)

\frac{d}{d x} (\frac{e ^{x} - e ^{- x}}{5})

\frac{x d y}{d x} = y + x^{2} - y^{2}

What is the integral of xcos(4pi)x^2 ?
The integral of xcos(4pi)x^2 is (x^4)/4+C