What is the integral of (sin(t^2)) ?

The integral of (sin(t^2)) is sqrt(pi/2)\S(sqrt(2/pi)t)+C

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integral of (sin(t^2))

\int (sin (t^{2})) d t

\frac{π}{2} § (\frac{2}{π} t) + C

Solution steps

\int sin (t^{2}) d t

Use the nonelementary integral:

\int sin (x^{2}) d x = \frac{π}{2} § (\frac{2}{π} x)

= \frac{π}{2} § (\frac{2}{π} t)

Add a constant to the solution

= \frac{π}{2} § (\frac{2}{π} t) + C

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What is the integral of (sin(t^2)) ?
The integral of (sin(t^2)) is sqrt(pi/2)\S(sqrt(2/pi)t)+C