You'd have to be very lucky if a member of the forum has the exact same book.
Please write out the question.
Good morning!
I'm having a bit of a hard time wrapping my mind around this concept. The part that seems to be troubling me the most is where Riemann Sums and sigma notation come in. I can't seem to find explanations online that help me better understand, so hopefully someone here could help?
The textbook that I am using is Briggs and Cochran's Calculus, section 5.1 specifically. For anybody that has this book, I have tried to follow example #5 as it seemed like it would be the most helpful. I have no clue what exactly they've done. The problem asks you to evaluate the left, right, and midpoint Riemann sums of f(x)= x^3 + 1 between a=0 and b=2 using n=50 subintervals. I can't figure out what to do once I have my Δx. The book just leaves me lost.
Thanks!
Sorry, haha. I provided the question from the example I was referring to in that paragraph. But here's a specific problem I'd love to see explained:
For the given value of n, use sigma notation to write the left, right, and midpoint Riemann sums. Then evaluate each sum using a calculator.
f(x)=x^2 - 1, for [2,7]; n=75
I'm not exactly sure what to do once I have my delta x. I think one of the biggest problems I'm having is with calculating the Riemann sums for large values of n.
How about
for left,
for middle, and
for right?
means the lower boundary of the interval, in this case, 2; the function you want to compute your Riemann sums for.
Hope this helps,
Bart