Solve x^2+4/x^2dx

$$x ^ { 2 } + \frac { 4 } { x ^ { 2 } } d x$$

Evaluate

$$\frac{x^{3}+4d}{x}$$

Short Solution Steps

Express \frac{4}{x^{2}}d as a single fraction.

$$x^{2}+\frac{4d}{x^{2}}x$$

Express \frac{4d}{x^{2}}x as a single fraction.

$$x^{2}+\frac{4dx}{x^{2}}$$

Cancel out x in both numerator and denominator.

$$x^{2}+\frac{4d}{x}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply x^{2} times \frac{x}{x}.

$$\frac{x^{2}x}{x}+\frac{4d}{x}$$

Since \frac{x^{2}x}{x} and \frac{4d}{x} have the same denominator, add them by adding their numerators.

$$\frac{x^{2}x+4d}{x}$$

Do the multiplications in x^{2}x+4d.

$$\frac{x^{3}+4d}{x}$$

Factor

$$\frac{x^{3}+4d}{x}$$