How can I evaluate this integral?
Integral sin(ln(x)) dx
If possible, can anyone show me step by step?
Thank you
one way:
write as $\displaystyle \int \frac xx \sin ( \ln x) ~dx$
then make the substitution $\displaystyle t = \ln x$
you will get the integral $\displaystyle \int e^t \sin t~dt$ which you would then do using integration by parts, with $\displaystyle u = \sin t$ (the part you differentiate) and $\displaystyle dv = e^t~dt$ (the part you integrate)