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)

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

\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

\frac{e ^{- 2 s}}{s ( s + 1 )}

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

\frac{\partial}{\partial y} (x^{2} + 2 y^{2} - 1)

\int \frac{9 x ^{8} + 8}{x ^{9} + 8 x} d x

\frac{\partial}{\partial x} (2 x e^{x^{2} + y^{2}})

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