Question

Evaluate ∫1,0 1/(1+x^2) dx exactly and show that the result is pi/4. Then, find the approximate value of the integral using the trapezoidal rule with 4 subdivisions. Use the result to approximate the value of pi.
The approximate value of is:

Give your answer accurate to four decimal places.
The exact value of the integral is pi/4. The approximate value of the integral using the trapezoidal rule with 4 subdivisions is 2.4142. This can be used to approximate the value of pi as 3.1416.
"The approximate value of the integral using the trapezoidal rule with 4 subdivisions is 2.4142"

This statement is total nonsense, it should clearly be close to .78

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