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## Homework Statement

Find the Maclaurin series of ##\int_{0}^{x} \cos{t^2} \cdot dt ##

## Homework Equations

3. The Attempt at a Solution [/B]

I normally have some idea how to go about solving these but for this one I just can't figure out where to start. I tried doing it with ##\int_{0}^{x} \cos{t}\cdot dt ## and then after evaluating that series replacing ##x## with ##x^2## but that didn't work at all. I checked what the integral of the original function was on wolfram alpha and it looked quite complicated so I'm assuming I'm supposed to calculate the integral of a simpler function then replace the x but I can't figure out what the simpler function is.