Integrate (2x)(e^x)dx
Solve via Integration by parts:
let u=2x and dv/dx=ex
the function that is u and the one that is dv/dx is given by LATHE (easier to explain on whiteboard)
make the table: u=2x => du/dx=2; dv/dx = ex => v=ex
then use the formula integral of u(dv/dx)dx = uv - integral of v(du/dx)dx = (2x)(ex) - (integral sign)(2ex)dx = (2x)(ex) - 2ex + C [Dont Forget C]
MR
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