help me integrate these

sin(x^2)dx
plz the answer is in infinte series

2 answers

http://www.wolframalpha.com/input/?i=solve+dy+%3D+sin(x%5E2)+dx
If y = ∑an x^n then
y' = ∑n an x^(n-1)
y' = 2x cos(x^2)

You know the power series for cos(u), so expand both and equate coefficients to get a recurrence relation.

google can show you lots of examples of solution by power series