The Riemann sum is formed using subintervals of equal width on a closed interval of…

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

The Riemann sum

\displaystyle \sum_{i=1}^{n} \left(5+\frac{2i}{n}\right)^{3}\left(\frac{2}{n}\right)

is formed using

n

subintervals of equal width on a closed interval of the

x

-axis. What is the value of

\Delta x

for this sum? (a)

\dfrac{5}{n}

(b)

\dfrac{1}{n}

(c)

\dfrac{2}{n}

(d)

\dfrac{7}{n}