Exercises

Follow the individual directions for each of the functions

1. Enter:
   Take the derivative
   Take the integral of the derivative
   Simplify
   Take the integral of the original function
   Take the derivative of the integral
   Simplify

   expr1:=(x-23)/x^2+8*x-10
dexpr1:= diff(expr1, x)
intdexpr1:= int(dexpr1, x)
simplify(intdexpr1)
intexpr1:= int(expr1, x)
dintexpr1:= diff(intexpr1, x)
simplify(dintexpr1)

2. Integrate:

   expr2:= x^2*cos(4*x)
intexpr2:= int(expr2, x)

3. Integrate:

   expr3:= (x^2-x-23)/x^2+8x-10
intexpr3:= int(expr3, x)