SOLUTION: this is calculus, I need some help using the simpson rule
Consider the integral (the integral symbol with pi/2 at the top and 0 at the bottom)cosx dx
i)Using 4 intervals appoxim
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Question 574959: this is calculus, I need some help using the simpson rule
Consider the integral (the integral symbol with pi/2 at the top and 0 at the bottom)cosx dx
i)Using 4 intervals appoximate the integral using the Simpson's rule
ii)Determine the actual value of the definite integral
Please help me
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Simpson's rule states that
 dx \approx \frac{b-a}{6}[f(a) + 4f(\frac{a+b}{2}) + f(b)])
, in this case,
 + \cos(\frac{\pi}{2})])
 \approx 1.0023)
If you were to actually integrate, you would get
evaluated at x = pi/2, subtract the value obtained at x = 0. The end result is sin (pi/2) - sin 0, or 1.
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