Calculus

Limits, derivatives, and integrals.

  1. Let I= ∫ (x⁴+6x³+3x+1)/(x³+4x²-8x+19) dx and I=ax²+bx-c ∫ (dx)/(x³+4x²-8x+19) dx then find 4a²+b-c
  2. The minimum value of xˣ is (1/ea)^1/ea. Find the roots of x²-2x+a.