The integral of sin(x^2) is not an elementary function, so it cannot be expressed as a finite sum of functions we are familiar with such as polynomials, trigonometric functions, exponential functions or logarithms.
However, we can express this integral as a sum of an infinite series by using the Maclaurin Series for sin(x).
Click here to watch my video on how to find the Maclaurin Series for sin(x): [ Ссылка ]
Click here to watch my video on the integral of cos(x^2): [ Ссылка ]
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