Problems in calculus whether its the AP Calculus exam or second semester college calculus often involve integration by parts where one function is a natural logarithm. In this post I’m going to solve a problem out of my calculus book:
Let’s remind ourselves how to do integration by parts:
At first glance, we might be tempted to [...]
Posted on August 30th, 2009 by admin
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The other day I was browsing my old calculus book and came across a limit often presented early in textbooks, sin(x) divided by x. Here is the limit:
Well its pretty easy to see this is a problematic expression. As x goes to 0 we have 0/0. If you’re just learning basic calculus, you’re probably at [...]
Posted on August 28th, 2009 by admin
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In first semester calculus, students often find limits confusing because when you substitute the value x is supposed to approach, you get nonsense like 0/0 or infinity. There is, however, an approach that can get calculus limits simplified into expressions where all you have to do is plug in the value of x given to [...]
Posted on August 27th, 2009 by admin
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Students taking second semester calculus soon face a dreaded technique called “integration by parts”. The mere mention of the term might strike fear in your heart, but take a deep breath because the truth is its easier than you might think.
So what is it for? If you’re at this stage in calculus then you know [...]
Posted on August 26th, 2009 by admin
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