Since the exact value of the integral is p4 you can

Question

Question: (a) Estimate

₀∫¹ 1/(1 + x²)dx

by subdividing the interval into eight parts using:

(i) the left Riemann sum

(ii) the right Riemann sum

(iii) the trapezoidal rule

(b) Since the exact value of the integral is π/4, you can estimate the value of π using part (a). Explain why your first estimate is too large and your second estimate too small.