Consider the function f(x) = (4x + 4)/(2x^2+4x) and the function g(x)=(2x+2)/(x^2+2x) Clearly, f(x) = g(x) for any value of x and thus f and g should be thought of as merely different notation for the same function. Now find the integral of f(x)dx and the integral of g(x)dx (without factoring out 2 in the case of f). Explain why it is not a problem that you get different solutions.

1 answer

INT f(x)dx= log(x)+log(x+2) + constant1

INT g(x)dx= log(x) + log(x+2) + constant2
Similar Questions
  1. Function A: Function B: Function C: y=x+5Which function has a negative rate of change (slope)? A. Function A B. Function B E.
    1. answers icon 1 answer
  2. The Identity FunctionThe Squaring Function The Cubing Function The Reciprocal Function The Square Root Function The Exponential
    1. answers icon 1 answer
    1. answers icon 1 answer
  3. To find the largest number in a list of numbers, use the _____.Responses SUM function SUM function ABS function ABS function MIN
    1. answers icon 1 answer
more similar questions