Practice problem
Integrate. ∫3+2x1+x2 dx\int\frac{3+2x}{1+x^2}\,dx∫1+x23+2xdx
3tan−1(x)+ln(1+x2)+C3\tan^{-1}(x)+\ln(1+x^2)+C3tan−1(x)+ln(1+x2)+C
tan−1(3+2x)+C\tan^{-1}(3+2x)+Ctan−1(3+2x)+C
3ln(tan−1(x))+C3\ln\left(\tan^{-1}(x)\right)+C3ln(tan−1(x))+C
3tan−1(ln(2x))+C3\tan^{-1}\left(\ln(2x)\right)+C3tan−1(ln(2x))+C
Type a concept, like “slope” or “photosynthesis”.
