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Let's work through an example that involves using area functions to find the area of various regions. Here we're given two area functions, it says let A of X equal the integral from...

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Okay, this is another addition of our famous function series of lectures. This will probably be the second most famous function in our BCS poll of functions and its polynomials. Polynomials of course,...

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Let's through an example that requires us to calculate displacement and distance traveled given a velocity function. Here are the directions: a hiker travels along a straight trail according...

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Lets work through some U-substitution examples together. Number 1 here is the integral of 2X sin of X squared of DX. First of all, something that is really important to realize is that we cannot use...

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Let's work through a word problem where we have to calculate the net change. Here's the scenario: A small town has a population of 1000 in the year 1950. Suppose the population...

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Let's work through the following problems together. The direction states if applicable use symmetry to calculate the integrals. We just learned that knowing if a function is even or odd can...

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Let's do some U substitution examples that are just a little bit more challenging. Here we have the integral of X over X squared plus 11 to the third power. We've seen before that...

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Let's work through a problem where we have to use a definition of the definite integral. The directions here are to find the value of X squared plus 2, from 0 to 3, by using the definition of...

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Let's work through a Newton's method problem together. Here are the directions: use Newton's method on the following function and initial guess. Continue iterations until you...

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