Question

calculus experts ....look through ...

Answer 1

\[\frac{\int\limits \sin (2+3\log_{e}x ) }{x }dx\]

Answer 2

put u = 2+3ln x
du =.. ?

Answer 3

@hartnn well i am not able to get ...

Answer 4

have you just started integration ?
you can differentiate, right ?
u= 2+3ln x
differentiate this w.r.t 'x'
what u get ?

Answer 5

3/x

Answer 6

correct
so, du= 3/x dx
or
(1/x) dx = du/3
got this ?

Answer 7

yep..

Answer 8

so your integral becomes \((1/3) \int \sin u du\)
this ?

Answer 9

got it ,,, thanks ...

Answer 10

welcome ^_^