What is expand (4x^2y^3+1/x)dx ?

The solution to expand (4x^2y^3+1/x)dx is 4x^2y^3dx+(dx)/x

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expand (4x^2y^3+1/x)dx

expand

(4 x^{2} y^{3} + \frac{1}{x}) d x

4 x^{2} y^{3} d x + \frac{d x}{x}

Solution steps

(4 x^{2} y^{3} + \frac{1}{x}) d x

Apply the distributive law:

a (b + c) = ab + a c

a = d x, b = 4 x^{2} y^{3}, c = \frac{1}{x}

= d x \cdot 4 x^{2} y^{3} + d x \frac{1}{x}

= 4 x^{2} y^{3} d x + \frac{1}{x} d x

\frac{1}{x} d x = \frac{d x}{x}

= 4 x^{2} y^{3} d x + \frac{d x}{x}

\frac{( b g - lo g _{10} ( a + b ) ) ^{2}}{l ^{4} a ^{6}}

(z + \frac{3}{2}) (z - \frac{3}{2})

(1 - cos (8 x))^{3}

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

5 (5 + 7)

What is expand (4x^2y^3+1/x)dx ?
The solution to expand (4x^2y^3+1/x)dx is 4x^2y^3dx+(dx)/x