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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of sin(t^2)

integral

sin (t^{2})

\frac{π}{2} § (\frac{2}{π} t) + C

Solution steps

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

Use the nonelementary integral:

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

= \frac{π}{2} § (\frac{2}{π} t)

Add a constant to the solution

= \frac{π}{2} § (\frac{2}{π} t) + C

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

\frac{x}{1 + cos ( x )}

1 + cos^{2} (x)

f (x) = x^{9}

f (x) = x^{3}

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