Question

I need help with a problem. I'll post a pic of it

Answer 1

there is a very obvious u-substitution

Answer 2

\[\int\limits \frac{ f'(x) }{ f(x) }dx = \ln (f(x)) + c\]

Answer 3

where did u get ln(f(x)) from?

Answer 4

try substituting the entire denominator : \(\large u = 4+2\sin x\)

Answer 5

@dolphins121 u know
\[\int\limits \frac{ dy }{ y } = \ln y + C\]

Answer 6

okay then what @rational

Answer 7

and uhm I'm not sure... @rishavraj

Answer 8

@dolphins121 \[u = 4 + 2\sin x\]
so \[2 \cos x dx = du\]

Answer 9

okay.. so then what?

Answer 10

now just plug u = 4 + 2sinx
and dx = du/(2 cos x)

Answer 11

so now it would be