Evaluate the Riemann sum for $f(r)=36-r^{2}, 0 \leq r \leq 2$ with four subintervals, taking the sample points to be right endpoints.
A) $68.25$
B) $69.75$
C) $70.75$
D) $70.25$
E) $69.25$

Question

Quizplus · Accepted Answer

The Riemann sum with four subintervals and right endpoints is:$$\frac{1}{2}[f(1)+f(1.5)+f(2)+f(2.5)]=\frac{1}{2}[35+28.75+20+13.75]=68.25$$

Evaluate the Riemann Sum For f(r)=36−r2,0≤r≤2f(r)=36-r^{2}, 0 \leq r \leq 2f(r)=36−r2,0≤r≤2

Evaluate the Riemann Sum For $f(r)=36-r^{2}, 0 \leq r \leq 2$