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

integral of (sin(t^2))

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

\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

\int t^{2} cos (nπ t) d t

\int \frac{x ^{2}}{( x - 2 ) ^{10}} d x

\int (2^{x} - 3^{x})^{2} d x

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

\int - \frac{5}{3} x^{- 31} d x

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