∫sin^2(x^2)dx - Wolfram|Alpha

Uh oh! Wolfram|Alpha doesn't run without JavaScript.

Please enable JavaScript. If you don't know how, you can find instructionshere.Once you've done that, refresh this page to start using Wolfram|Alpha.

Indefinite integral

integral sin^2(x^2) dx = 1/4 (2 x - sqrt(π) C((2 x)/sqrt(π))) + constant

Plot

Plot

Plot

Expanded form of the integral

x/2 - 1/4 sqrt(π) C((2 x)/sqrt(π)) + constant

Series expansion of the integral at x=0

x^5/5 - x^9/27 + O(x^13)
(Taylor series)

Big‐O notation »

Series expansion of the integral at x=∞

sin(2 x^2) (-1/(8 x) + 3/(128 x^5) + O((1/x)^6)) + cos(2 x^2) (1/(32 x^3) + O((1/x)^6)) + (x/2 - sqrt(π)/8 + O((1/x)^6))

Big‐O notation »

POWERED BY THE WOLFRAM LANGUAGE