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Mathematics 8 Online
OpenStudy (anonymous):

integral sin(x^2)=?

OpenStudy (anonymous):

it's a Freshnel integral.

OpenStudy (anonymous):

why?

OpenStudy (anonymous):

Because there is not integral for that in elementary functions.

OpenStudy (anonymous):

No integral*

OpenStudy (anonymous):

I thing this the answer (-cos(x^2)/2x)+c is it right?

OpenStudy (anonymous):

You can expand sin(x^2) into a series and integrate it approximately

OpenStudy (anonymous):

ok thank you

OpenStudy (anonymous):

The expansion for sine as a series is: \[\sum_{n=0}^{\infty}\frac{(-1)^n x^{2n+1}}{(2n+1)!}= sin(x)\] If you replace x with x^2. You can then integrate it and approximate it. \[\int\limits \sum_{n=0}^{\infty}\frac{(-1)^n x^{4n+2}}{(2n+1)!}dx\]

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