hey all blog Viewers! How has your week been? This was our first week back from winter break and oh it was quite a shock. We started to learn about Integrals and the area underneath the curve. We first did this by using Raymond sums (rectangular approximation method). I wasn't a huge fan of this method since it wasn't exact. During these few days we spent on Raymond sums, I figured out how to use integrals. It is actually very simple. You can think of it this way. If you have a graph of velocity with relation to time and you can find distance by multiplying velocity in time. Which is the area underneath the curve! So basically, you can find position by taking the antiderivative of velocity. You can do this with all functions. It's the same as taking the integral. If you were looking at the integral of the function 5x on the interval (a,b) , you would take the anti derivative of it and get 5/2(x)^2. Them you plug in B and subtract that area from a. This gives you the integral. Very easy with some practice. We also took a look at the mean value theorem. This helps you find an average value of any function without much help from the calculus. We are getting ready to quiz and I feel very confident. Go math!
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