Evaluate ∫1x2+2x+1dx\int \frac{1}{x^2+2x+1} dx∫x2+2x+11dx.
−1x+1+C-\frac{1}{x+1} + C−x+11+C
ln∣x+1∣+C\ln|x+1| + Cln∣x+1∣+C
1x+1+C\frac{1}{x+1} + Cx+11+C
−ln∣x+1∣+C-\ln|x+1| + C−ln∣x+1∣+C