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I have posted a link there to this topic so the OP can see my work.Consider the definite integral ∫_0^1〖sin(x^2 )dx〗. How large must n be to guarantee that:?

1. |∫_0^1〖sin(x^2 )dx〗- M_n |< .00001

2. |∫_0^1〖sin(x^2 )dx〗- T_n |< .00001

3. |∫_0^1〖sin(x^2 )dx〗- S_n |< .00001

I guess I'm mostly confused on how to find n. Thanks for all your help.