Now we are learning about integrals. If you like rectangles then integrals are for you because taking the integral of an equation is a lot like measuring the area of an infinite amount of rectangles under a curve. It's pretty neat how it all works. I think that integrals are extremely important to a lot of the calculations that are made to make our modern life possible.
I'm sure that in the near future we are going to use antiderivatives more extensively with integrals with u substitution again and what not. My memory is a little shaky in that region so hopefully that can come back to me...
Some of the problems we've done with integrals have been cool like this one exploration problem where I found the average length of a chord in a circle using integrals and the mean value theorem. I thought that I was doing some pretty advanced stuff and I was proud of myself.
When I'm doing these problems, I'm still amazed at the fact we came upon earlier in the year where we did the difference quotient to find the derivative. I think that the algebra gymnastics were cool and the logic is cool.
I'm sure that in the near future we are going to use antiderivatives more extensively with integrals with u substitution again and what not. My memory is a little shaky in that region so hopefully that can come back to me...
Some of the problems we've done with integrals have been cool like this one exploration problem where I found the average length of a chord in a circle using integrals and the mean value theorem. I thought that I was doing some pretty advanced stuff and I was proud of myself.
When I'm doing these problems, I'm still amazed at the fact we came upon earlier in the year where we did the difference quotient to find the derivative. I think that the algebra gymnastics were cool and the logic is cool.