calculus, integral, work included

Looks correct to me. Since you seem to be fine at math, you could simplify the log to make it look prettier.
 
okay thanks, for the confirm. Looking over some problems, would you consider this math, about the calculus 2 level? seemed rather lengthy.
 
Yes, this is definetly calc-II course material (trig substitution). I would classify this as middle-of-the-road difficulty. Probably the level of what you'd expect on an exam. If you are in an AP calc class this might be considered one of the harder ones, but every teacher/professor is different.
 
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