Exercises

Follow the individual directions for each of the functions

Use Commands Only

1. Enter: $\frac{x-23}{x^2+8x-10}$
   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: $x^2\cos (4x)$

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

3. Integrate: $\frac{x^2-x-23}{x^2+8x-10}$

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

Use the Right Click Menu

1. Enter: $\frac{x-23}{x^2+8x-10}$
   Take the derivative
   Take the integral of the derivative
   Simplify
   Take the integral of the original function
   Take the derivative of the integral
   Simplify

   (x-23)/x^2+8x-10
(Right-click: Differentiate->x)
(Right-click derivative: Integrate->x)
(Right-click result: simplify)
(Right-click original equation: Integrate->x)
(Right-click integral: differentiate->x)
(Right-click result: simplify)

2. Integrate: $x^2\cos (4x)$

   x^2*cos(4x)
(Right-click: Integrate->x)

3. Integrate: $\frac{x^2-x-23}{x^2+8x-10}$

   (x^2-x-23)/x^2+8x-10
(Right-click: Integrate->x)