Question

In: Math

On a sketch of y=ln(x), represent the left Riemann sum with n=2 approximating ∫3to2 ln (x)dx....

On a sketch of y=ln(x), represent the left Riemann sum with n=2 approximating ∫3to2 ln (x)dx.

Write out the terms of the sum, but do not evaluate it:

Sum = ?? + ??

On another sketch, represent the right Riemann sum with n = 2 approximating  ∫3to2 ln(x)dx. Write out the terms of the sum, but do not evaluate it:

Sum = ?? + ??

Which sum is an overestimate?

a) the right Riemann sum

b)the left Riemann sum

c) neither sum

Which sum is an underestimate?

a) the left Riemann sum

b) the right Riemann sum

c) neither sum

Solutions

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