reverse quotient rule and then integrating!!!!!! just not clicking!!!

Hi, i have this initial-value problem....i need to use the reverse quotient rule, but i also need to use an integration formula too:

dy/dx= (cos(5x))/(7+sin(5x)) when y=6 when x=0

f'(x)/f(x)dx=in(f(x))+c (f(x)>0)

i don't want the answer i would just like to know how??? if that makes sense lol. I cannot find an example that is similar to this so i can work through it as i find this is the best way of learning....can anyone help pretty please??(Thinking)

Re: reverse quotient rule and then integrating!!!!!! just not clicking!!!

Hello, triffid1000!

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This can be simplified beyond all recognition.

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