A bit of LaTeX would be very helpful.mshiddensecret said:Homework Statement
http://msr02.math.mcgill.ca/webwork2_files/jsMath/fonts/cmex10/alpha/144/char5A.png (8x)/(x4+1)dx
$$ \int \frac{8x dx}{x^4 + 1}$$mshiddensecret said:Homework Equations
Arctan?The Attempt at a Solution
I tried using subsitution with x^4+1 but it will only derive to 4x^3 which cannot get rid of the 8x on top.
The equation 8x/(x^4+1)dx is used to solve for the integral of a function that involves a polynomial with a degree of four or higher in the denominator.
To solve the equation, you can use the substitution method or partial fractions to rewrite the integral in a form that is easier to integrate. Then, you can use integration techniques such as u-substitution or integration by parts to find the solution.
The values of x in the equation depend on the limits of integration. If the limits are from negative infinity to positive infinity, then x can take on any real value. However, if the limits are finite, then x must be within those limits.
Yes, one special case is when the polynomial in the denominator contains complex roots. In this case, you may need to use complex analysis techniques to solve the integral.
No, this equation cannot be solved using a calculator because it involves integration, which is a process that cannot be performed by a calculator. It requires knowledge of integration techniques and methods to find the solution.