Question

∫ eˣ(1+x log x/x) dx=.......+c ,Select correct option from the given options.
(a) eˣ log x
(b) x.eˣ
(c) 1/x log x
(d) e⁻ˣ log x

Answer 1

Dear Student:

For solving apply ILATE rule

Where, I stands for inverse

            L for logarithm

            A for algebra

            T for trignometry

            E for exponential

Apply  in $\int\limits {uv} \, dx$

uv formula given in attachment.

u= logx and v=exp(x)

Answer 2

Step-by-step explanation:

option b is correct answer