i'm having trouble with this.(adsbygoogle = window.adsbygoogle || []).push({});

i first need to solve x'=sinx. the answer is given as t=ln|(csc(x0)+cot(x0))/(csc(x)+cot(x))|]

i'm not sure where those x0's came in from.

here's what i did:

Int(1/sinx)dx=Int(1)dt

Int(csc(x))dx=Int(1)dt

Int((-1)[(-1)csc(x)(cot(x)+csc(x))]/(cot(x)+csc(x)))dx=Int(1)dt (this is the same as the line above but then lets you change Int(f'(x)/f(x)) to ln(f(x)))

-ln(cot(x)+csc(x))=t

so as you can see this answer isn't the same as the answer that was provided. what am i doing wrong and where do those x0's come in from?

any help is appreciated.

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# Solve x'=sinx

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