10. (a) Consider the integral dx. x² Why can't this integral be computed using the Fundamental Theorem of Calculus? (b) Assuming the Fundamental Theorem of Calculus could be applied to the integral above, what would it be? (c) Let e be a number so that 1> e > 0. Explain why the integrals dx, dx 2 can be computed using the Fundamental Theorem of Calculus. Compute them. (d) Determine lim dx + dx

Help me solve this with all steps

VT (2x)[sin (2x²)] cos (x2) the correct re-expressed integral in terms of u. Choose and circle one. For the integral dx, suppose we make this substitution: u = x². Determine (A) (B) (C) (D) (E) (F) (G) * sin (u) du cos (u) sin (2u) -du cos (u) None of these sin (2u) -du cos (u) du tan(2u)du tan(u)du|| choices represent a correct integral in terms of u. cos (u)

Use residues to find the indefinite integral f dx- (16+x)2 2x²