$\displaystyle integral(16/(xln(4x)dx [e, e^7]$
Can anyone help?
I tried putting it in my calculator and it is unable to work it out.
$\displaystyle 16\int_e^{e^7} \frac{{\color{blue}1}}{{\color{blue}x} {\color{red}\ln (4x)}} \ {\color{blue}dx}$
Let: $\displaystyle {\color{red}u = \ln (4x)} \ \Rightarrow \ du = \frac{1}{4x} \cdot 4 \ dx \ \Leftrightarrow \ {\color{blue}du = \frac{1}{x} \ dx}$
Don't forget to change your upper and lower limits.