1—x4 J ,c4(1+x2+x4)dx, Does it give you an elementary antiderivative? How do you know?

Problem 3. A. (5 points) (a) Try using Wolfram Alpha to solve the integral,
1—x4 J ,c4(1+x2+x4)dx,
Does it give you an elementary antiderivative? How do you know? (b) Use a substitution of the form u = xk + X-k (for some positive integer k) to solve the integral
j..ilFx4(1+x2+x4) (HINT: After your substitution, you might still need some help integrating!) B. (5 points) Consider the function g(x)=e-x(l+e-r)-2dt. (a) Compute f g(x)dx by hand. (b) What answer does Wolfram Alpha give? (c) Are the two answers the same? Explain why or why not.
1-x4
dx