What is the integral of cos(y^2) ?

The integral of cos(y^2) is sqrt(pi/2)\C(sqrt(2/pi)y)+C

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integral of cos(y^2)

integral

cos (y^{2})

\frac{π}{2} C (\frac{2}{π} y) + C

Solution steps

\int cos (y^{2}) d y

Use the nonelementary integral:

\int cos (x^{2}) d x = \frac{π}{2} C (\frac{2}{π} x)

= \frac{π}{2} C (\frac{2}{π} y)

Add a constant to the solution

= \frac{π}{2} C (\frac{2}{π} y) + C

What is the integral of cos(y^2) ?
The integral of cos(y^2) is sqrt(pi/2)\C(sqrt(2/pi)y)+C