Integrals with u-substitution

Consider taking the integral of the following function:

Notice any issues? Any roadblocks we may run into?

It's easy enough to take the integral of t...

...but sin(t2) is where things get tricky.

We know that the integral of sin(x) is -cos(x)... however the integral of sin(x2) is not as simple as -cos(x2)!

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