Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I have tried Trigonometric Substitution, but I can´t get an already known function to be easy for integrate:


I entered this on Wolfram and it gave me the same function. I'm not asking for the exact solution, just a good way to solve it.


share|cite|improve this question
I'll bet you a nickel that there's a $dx$ in their somewhere. – John Feb 11 '14 at 20:49
I'm sorry, yes it is. – ismatim Feb 11 '14 at 20:50
@John. In "their" or "there" :) – imranfat Feb 11 '14 at 20:54
Sorry about the question, but we use different notation. Is it $\sin x^2$ or $\sin^2 x$? – Vadim Feb 11 '14 at 20:54
It is highly possible that an exact antiderivative might not exist without using special functions. – robjohn Feb 11 '14 at 21:13


$\because0\leq\dfrac{\sin^2x}{x^2+1}<1$ $\forall x\in\mathbb{R}$







share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.