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\frac{x}{x^{2}+2x+x+2}dx
Apply the distributive property by multiplying each term of x+1 by each term of x+2.
\frac{x}{x^{2}+3x+2}dx
Combine 2x and x to get 3x.
\frac{xd}{x^{2}+3x+2}x
Express \frac{x}{x^{2}+3x+2}d as a single fraction.
\frac{xdx}{x^{2}+3x+2}
Express \frac{xd}{x^{2}+3x+2}x as a single fraction.
\frac{x^{2}d}{x^{2}+3x+2}
Multiply x and x to get x^{2}.
\frac{x}{x^{2}+2x+x+2}dx
Apply the distributive property by multiplying each term of x+1 by each term of x+2.
\frac{x}{x^{2}+3x+2}dx
Combine 2x and x to get 3x.
\frac{xd}{x^{2}+3x+2}x
Express \frac{x}{x^{2}+3x+2}d as a single fraction.
\frac{xdx}{x^{2}+3x+2}
Express \frac{xd}{x^{2}+3x+2}x as a single fraction.
\frac{x^{2}d}{x^{2}+3x+2}
Multiply x and x to get x^{2}.