Solve an^-12x/1+x^2dx

$$a n ^ { - 1 } \frac { 2 x } { 1 + x ^ { 2 } } d x$$

Evaluate

$$\frac{2adx^{2}}{nx^{2}+n}$$

Solution Steps

Express a\times \frac{2x}{1+x^{2}} as a single fraction.

$$\frac{a\times 2x}{1+x^{2}}n^{-1}dx$$

Express \frac{a\times 2x}{1+x^{2}}d as a single fraction.

$$\frac{a\times 2xd}{1+x^{2}}n^{-1}x$$

Express \frac{a\times 2xd}{1+x^{2}}x as a single fraction.

$$\frac{a\times 2xdx}{1+x^{2}}n^{-1}$$

Multiply x and x to get x^{2}.

$$\frac{a\times 2x^{2}d}{1+x^{2}}n^{-1}$$

Express \frac{a\times 2x^{2}d}{1+x^{2}}n^{-1} as a single fraction.

$$\frac{a\times 2x^{2}dn^{-1}}{1+x^{2}}$$

Factor

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