Alexx1 said:
tiny-tim said:Hi Alexx1! Welcome to PF!
Do you mean [tex]\sqrt(1+(\frac{x^4-1}{2x^2})^2)[/tex] ?
Alexx1 said:
tiny-tim said:ok, then (without integrating) expand everything inside the √, and then simplify …
what do you get?
)Alexx1 said:
not even close 
tiny-tim said:(try using the X2 tag just above the Reply box
uhhh?
Alexx1 said:
tiny-tim said:(please use the X2 tag just above the Reply box … it makes it much easier to read)ok!
and the square-root of that is … ?
Alexx1 said:
)tiny-tim said:come on, think!
(or put x4 = y
The integral of sqrt(1+((x^4-1)/(2x^2))^2) is a complex integral that cannot be expressed in terms of elementary functions. It can be approximated using numerical methods or solved using specialized techniques such as elliptic integrals.
The integral sqrt(1+((x^4-1)/(2x^2))^2) can be solved using specialized techniques such as elliptic integrals or by approximating it using numerical methods. It cannot be solved using traditional methods of integration.
The integral sqrt(1+((x^4-1)/(2x^2))^2) is often used in physics and engineering to calculate the arc length of a curve. It can also be used in other applications such as calculating the surface area of certain shapes.
No, the integral sqrt(1+((x^4-1)/(2x^2))^2) cannot be simplified using traditional methods of integration. It can only be approximated using numerical methods or solved using specialized techniques.
No, the integral sqrt(1+((x^4-1)/(2x^2))^2) cannot be expressed in terms of elementary functions such as polynomials, trigonometric functions, or exponential functions. It can only be approximated using numerical methods or solved using specialized techniques.