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

f (x) = 4 x^{2} - 5 x, at x = 3

f (x) = - 4 x

\frac{\partial}{\partial y} (\frac{t}{2 y ^{4}})

\int x sin (5 x^{2}) cos (6 x^{2}) d x

\frac{d y}{d x} = x^{2} + y

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