User:Jw116104

Math 163b

#1

Find $I=\int _{1}^{2}x\ln {x}\mathrm {d} x\!$.

#2

Find $I=\int (x+\ln {x}+e^{x})\mathrm {d} x\!$.

$I=\int x\mathrm {d} x\!+\int \ln {x}\mathrm {d} x\!+\int e^{x}\mathrm {d} x\!$.

$I={\frac {x^{2}}{2}}+c_{1})+\int \ln {x}\mathrm {d} x\!+(e^{x}+c_{3})$.