Compute the numerical value of the Riemann sum Sum(F(x[k])(x[k]-x[k-1]),k = 1,k=3) for the integral: (integral range) [3,7] ∫ of F(x)*ⅆx where F(x)=x+3. Assume that the points x[0] .. x[3] divide the interval [3,7] into 3 equal subintervals.

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- Nov 20th 2009, 02:32 PMVelvet LoveWeird sum problem
Compute the numerical value of the Riemann sum Sum(F(x[k])(x[k]-x[k-1]),k = 1,k=3) for the integral: (integral range) [3,7] ∫ of F(x)*ⅆx where F(x)=x+3. Assume that the points x[0] .. x[3] divide the interval [3,7] into 3 equal subintervals.

- Nov 21st 2009, 03:47 AMScott H
Here is a hint: the subintervals are

and the value of in each case is . The Riemann sum is therefore