What is (x^3)/(sqrt(16-x^2))dx ?

The solution to (x^3)/(sqrt(16-x^2))dx is (x^3dxsqrt(16-x^2))/(16-x^2)

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simplify (x^3)/(sqrt(16-x^2))dx

simplify

\frac{x ^{3}}{16 - x ^{2}} d x

\frac{x ^{3} d x 16 - x ^{2}}{16 - x ^{2}}

Solution steps

\frac{x ^{3}}{16 - x ^{2}} d x

Multiply fractions:

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

= \frac{x ^{3} d x}{16 - x ^{2}}

Rationalize

\frac{x ^{3} d x}{16 - x ^{2}} : \frac{x ^{3} d x - x ^{2} + 16}{- x ^{2} + 16}

= \frac{x ^{3} d x - x ^{2} + 16}{16 - x ^{2}}

\int \frac{5}{2 x} d x

\frac{d}{d x} (8^{x^{8}})

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

\frac{\partial}{\partial x} (\frac{2 x ^{2}}{y ^{2} + x ^{2}})

\int_{- 1}^{1} (\frac{2}{x ^{2} + 1}) d x

What is (x^3)/(sqrt(16-x^2))dx ?
The solution to (x^3)/(sqrt(16-x^2))dx is (x^3dxsqrt(16-x^2))/(16-x^2)