Subject:  Calculus

Find ∫₀^π sin(x) dx

Approximate the area under one full positive arch of the sine curve.

Answer ∫ from 0 to 3.14159 ≈ 2

Solution

  1. Integrand f(x) = sin(x)
  2. Interval from a = 0 to b = 3.14159
  3. Method Composite Simpson's rule with 1000 subintervals
  4. Result ∫ ≈ 2

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