integrate cos(t2) + t from -3 to sinx - Wolfram|Alpha
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Definite integral:

link to /input/?i=1%2F2+%28-9%2Bsqrt%282+%CF%80%29+%28FresnelC%283+sqrt%282%2F%CF%80%29%29%2BFresnelC%28sqrt%282%2F%CF%80%29+sin%28x%29%29%29%2Bsin%5E2%28x%29%29&lk=1&a=ClashPrefs_*Math-
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Series expansion of the integral at x=0:

link to /input/?i=-9%2F2%2Bx%2Bx%5E2%2F2-x%5E3%2F6-x%5E4%2F6%2Bsqrt%28%CF%80%2F2%29+FresnelC%283+sqrt%282%2F%CF%80%29%29&lk=1&a=ClashPrefs_*Math-
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