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

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

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integral of (sin(x^2))

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

\frac{π}{2} § (\frac{2}{π} x) + C

Solution steps

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

Use the nonelementary integral:

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

= \frac{π}{2} § (\frac{2}{π} x)

Add a constant to the solution

= \frac{π}{2} § (\frac{2}{π} x) + C

\frac{\partial}{\partial x} (9 + x^{2} + y^{2})

\frac{d ^{2}}{d x ^{2}} (\frac{10}{3 x ^{3}})

\frac{\partial}{\partial x} (x^{2} - x y^{2} + 4 y^{5})

f (x) = 12 x

\frac{d}{d x} ((\frac{x ^{2} + 1}{2 x + 1})^{2})

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