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]

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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(13208) About Me  (Show Source):
You can put this solution on YOUR website!


The integral is

x%5E2%2B5x

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.