Up for sale is a TI-n spire calculator owned and signed by by W. Michael Kelley, the author of The Complete Idiot's Guide to Calculus and The Humongous Book of Calculus Problems. Is Kelley famous? No. Does the signature actually add any monetary value to the auction? No. In fact, like graffiti, it may actually devalue the sale. That's a chance we're willing to take in a fund raiser to reboot Calculus-Help.com for the new school year: http://www.ebay.com/itm/140846256145.
Unless you live in Chicago, the new Problem of the Week may be unsettling because it is rife with bears. Not the cute kind of bears that get stuck in a rabbit's tree house because they may or may not be morbidly obese. ("Oh, bother.") No. These are the "I'd rather eat you, bones and all, than pretend that I am a cloud to hustle some bees out of their honey" kind of bears. The dangerous kind.
Are you thinking, "This must be an optimization problem, where you are asked to calculate the bear minimum"? If you did think that, please know that I am, as you read this sentence, smiling approvingly and giving you polite golf applause for your clever pun. However, this problem is all about definite integrals, so there is no time for joking around.
Steel yourself for the battle of your life! Attack this problem with your bear hands! But please, before you do, I would like the polite golf applause reciprocated.
Are you pro-derivatives? If so, well, our politics may clash in the new Problem of the Week, as it is firmly anti-derivative. Only one tool is allowed to solve this pair of problems--the power rule for integration. No u-substitution allowed!