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

\int_{0}^{\infty} e^{- 3 x} d x

\int_{0}^{\frac{π}{6}} sin (3 x) d x

\frac{d}{d x} (\frac{- x ^{3} + 10}{4})

\int e^{2 s i n (3 x)} cos (3 x) d x

\frac{\partial}{\partial x} (2 y^{\frac{1}{2}} x^{\frac{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