Solve 1/x+x^3dx

$$\frac { 1 } { x + x ^ { 3 } } d x$$

Evaluate

$$\frac{d}{x^{2}+1}$$

Short Solution Steps

Express \frac{1}{x+x^{3}}d as a single fraction.

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

Express \frac{d}{x+x^{3}}x as a single fraction.

$$\frac{dx}{x+x^{3}}$$

Factor the expressions that are not already factored.

$$\frac{dx}{x\left(x^{2}+1\right)}$$

Cancel out x in both numerator and denominator.

$$\frac{d}{x^{2}+1}$$

Differentiate w.r.t. x

$$-\frac{2dx}{\left(x^{2}+1\right)^{2}}$$