AIR MATH

Math Question

Let \( f(x)=x^{3} \) and compute the Riemann sum of \( f \) over the interval \( [4,5] \), using the following number of subintervals \( (n) \). In each case, choose the representative points to be the left endpoints of the subintervals. (Round your answers to two decimal places.)
(a) Use two subintervals of equal length \( (n=2) \).
\( x \)
(b) Use five subintervals of equal length \( (n=5) \).
\( 77 x \)
(c) Use ten subintervals of equal length \( (n=10) \).
(d) Can you guess at the area of the region under the graph of \( f \) on the interval \( [4,5] \) ?
\( 94 \quad \vee \) square units

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