What is (x^3)/3+1/(4x) ?

The solution to (x^3)/3+1/(4x) is (4x^4+3)/(12x)

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simplify (x^3)/3+1/(4x)

simplify

\frac{x ^{3}}{3} + \frac{1}{4 x}

\frac{4 x ^{4} + 3}{12 x}

Solution steps

\frac{x ^{3}}{3} + \frac{1}{4 x}

Least Common Multiplier of

3, 4 x : 12 x

Adjust Fractions based on the LCM

= \frac{4 x ^{4}}{12 x} + \frac{3}{12 x}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{4 x ^{4} + 3}{12 x}

\frac{5}{7 + 3}

lo g_{10} (x + 3) + lo g_{10} (x + 5)

cot (x) \cdot sec (x)

\frac{sec ( x ) - cos ( x )}{tan ( x )}

\frac{x ^{2} - x}{x - 1}