SOLUTION: find value of n , m , if int(2x+5)dx=36 in [n,m] and int(2x+5)dx=60 in[n-1, m+1]

Question 1136409: find value of n , m ,
if int(2x+5)dx=36 in [n,m] and int(2x+5)dx=60 in[n-1, m+1]
Answer by greenestamps(13209) (Show Source): You can put this solution on YOUR website!

The integral is

One easy way to find the solution (probably the easiest) is simply to find the values of the integral for integer values and find ones which meet the requirements.

    x   x^2+5x
  --------------
    1     6
    2    14
    3    24
    4    36
    5    50
    6    66
    7    84

Inspection shows for m=2 and n=5 the integral from m=2 to n=5 is 36 and the integral from m-1=1 to n+1=6 is 60. So

ANSWER: m=2; n=5.
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