We want to find the area under the curve f(t) = 1/t between t = 1 and t = 3.
The correct option is D, the approximate area is 1.1
To find the area under the curve we just must solve the integral:
[tex]\int\limits^3_1 {1/t} \, dt[/tex]
And remember that:
[tex]\int\limits {1/x} \, dx = ln(x)[/tex]
Then:
[tex]\int\limits^3_1 {1/t} \, dt = ln(3) - ln(1) = 1.1[/tex]
So the correct option is D, the approximate area is 1.1
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