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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of sin(r^2)

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

\frac{π}{2} § (\frac{2}{π} r) + C

Solution steps

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

Use the nonelementary integral:

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

= \frac{π}{2} § (\frac{2}{π} r)

Add a constant to the solution

= \frac{π}{2} § (\frac{2}{π} r) + C

\int cos (2 π t) d t

\int \frac{e ^{x}}{9 - e ^{2 x}} d x

\frac{\partial}{\partial u} (u^{5} + v^{7})

\frac{\partial}{\partial x} (y^{2} + 16)

\frac{d}{d x} (\frac{x + 1}{x + 5})

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