If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then m(b − a) ≤
b
f(x) dx

a
≤ M(b − a).
Use this property to estimate the value of the integral.
2
3
1 + x2
dx

0

smaller value is 1.2

larger value is 6

Step-by-step explanation:

when x=a=0, one has

now, when x=b=2, one has

Therefore, the absolute minumun is

and the absolute maximun is

The approximation to the integral is

hence

i belive those are the ones that are under 90 degreese.