Solve Integral of cos(y^2) - Calculus

[caaron3]

Can anyone help me with the integral of cos(y^2)?

 

[cristo]

Possibly. Can you reduce cos(y^2) down and express it in terms of sin(y) and cos(y)?

 

[caaron3]

not really. I'm finding functions, given the gradient...

((e^x)*cos(y^2))i - (2y(e^x)sin(y^2))j

 

[cristo]

I reckon you can. How about if you write cos(2y)=cos(y+y)=...

 

[Gib Z]

cristo - its cos (y^2), not 2y :(

caaron3 - it has no elementary solution, though if you really want some sort of a solution, the anti derivative is in terms of the Cosine Fresnel Integral, so look that up.