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)

integral

sin (t^{2})

\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

in t e g r a l \frac{1}{( x ^{2} + 2 x )}

in t e g r a l \frac{x}{1 + cos ( x )}

in t e g r a l 1 + cos^{2} (x)

in t e g r a l f (x) = x^{9}

in t e g r a l f (x) = x^{3}

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