What is the f(x)=sin(\sqrt[3]{x})*cos(\sqrt[3]{x}) ?

The f(x)=sin(\sqrt[3]{x})*cos(\sqrt[3]{x}) is

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f(x)=sin(\sqrt[3]{x})*cos(\sqrt[3]{x})

Domain : - \infty < x < \infty

X Intercepts : (8 π^{3} n^{3}, 0), (π^{3} + 6 π^{3} n + 12 π^{3} n^{2} + 8 π^{3} n^{3}, 0), (\frac{π ^{3}}{8} + \frac{3 π ^{3} n}{2} + 6 π^{3} n^{2} + 8 π^{3} n^{3}, 0), (\frac{27 π ^{3}}{8} + \frac{27 π ^{3} n}{2} + 18 π^{3} n^{2} + 8 π^{3} n^{3}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

Axis interception points of

X Intercepts

: (8 π^{3} n^{3}, 0), (π^{3} + 6 π^{3} n + 12 π^{3} n^{2} + 8 π^{3} n^{3}, 0), (\frac{π ^{3}}{8} + \frac{3 π ^{3} n}{2} + 6 π^{3} n^{2} + 8 π^{3} n^{3}, 0), (\frac{27 π ^{3}}{8} + \frac{27 π ^{3} n}{2} + 18 π^{3} n^{2} + 8 π^{3} n^{3}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

None

\int_{4}^{\infty} 8 x^{- 3} d x

\int \frac{1}{4 x ^{2} - 9} d x

f (x) = \frac{2}{x - 2}, (4, 1)

f (x) = \frac{4}{x}

\int (x^{2} + 2 x) \cdot cos (x) d x

What is the f(x)=sin(\sqrt[3]{x})*cos(\sqrt[3]{x}) ?
The f(x)=sin(\sqrt[3]{x})*cos(\sqrt[3]{x}) is