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

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

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integral of sin(u^2)

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

\frac{π}{2} § (\frac{2}{π} u) + C

Solution steps

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

Use the nonelementary integral:

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

= \frac{π}{2} § (\frac{2}{π} u)

Add a constant to the solution

= \frac{π}{2} § (\frac{2}{π} u) + C

\int \frac{37}{x ^{3} - 27} d x

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

\frac{x ^{2}}{8 + x}

\int \frac{cos ( x )}{sin ( x )} d x

n = 0 \sum \infty \frac{1}{n} - \frac{1}{n + 2}

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