Q2 Definite Integral and Riemann Sums 20 Points Let f(x)=x2 on the interval [0,3]. Q2.1 Riemann Sums 10 Points Using 6 left endpoint rectangles, estimate the area under f(x) on 0?x?3. Show all necessary work involved. Please select file(s) Q2.2 Limits of Riemann Sums 10 Points Set up and find the exact value for ?03?x2dx using the limit of righ solutionspile.com

Question

Q2 Definite Integral and Riemann Sums 20 Points Let

f (x) = x^{2}

on the interval

[0, 3]

. Q2.1 Riemann Sums 10 Points Using 6 left endpoint rectangles, estimate the area under

f (x)

on

0 ? x ? 3

. Show all necessary work involved. Please select file(s) Q2.2 Limits of Riemann Sums 10 Points Set up and find the exact value for

?_{0}^{3} x^{2} d x

using the limit of right endpoint Riemann sums. You have the following identities, should you need them:

?_{i = 1}^{n} i = \frac{n ? ( n + 1 )}{2}, ?_{i = 1}^{n} i^{2} = \frac{n ? ( n + 1 ) ? ( 2 n + 1 )}{6} ?_{i = 1}^{n} i^{3} = [\frac{n ( n + 1 )}{2}]^{2}

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