Area Under a Curve Using Limits of Sums | Ex. 8 of 8 | f(x)=x^2+5; [1,3]

Area Under a Curve Using Limits of Sums. Find the area under the curve over the given interval for f(x)=x^2+5; [1,3]. We set up our solution using the limit as n goes to infinity of the upper limit. We explain how to find the Area Under a Curve using Limits of Sums. We use what we know on the sum from k=1 to n of 1, k, k^2, and k^3. They result in n, n(n+1)/2, n(n+1)(2n+1)/6, and n^2(n+1)^2/4 respectively. This is a great Explanation of the Area Under a Curve Using Limits of Sums. This is under the topic of Definite Integration with this free online math video lesson. #calculus #freecalculusvideos #minutemath #LimitsOfSums #sums #areaunderthecurve #limits #integrals #definiteintegral #mathhelp #calculushelp #lightboard #mathhelp #mathvideos

Every Month we have a new GIVEAWAY that is FREE to Enter. See link below for details. You can enter Every Month!

Camera Used For Video (Canon EOS M50):

Subscribe to our YouTube Channel:

Visit our website for links to all of our videos:

Need a Math Tutor?

Join our Discord Server for Math Talk and Math Help!

Great Educational Resources Here:

Nominate a Great Teacher Here:

Have a Math Lesson you would like to add to our community of videos? Click here:

Subscribe to our other Life and Finance/Business YouTube Channel:

Consider supporting us on Patreon...

Follow us for...