See that thing to the left? We did that thing.
Yup. This week in AP Calc, it was finally time to start Chapter 6: u-substitutions in definite and indefinite integrals. Huzzah!
Because Cresswell hates my chronologically ordered mind, we started with section 6.2 and learned how to antidifferentiate indefinite integrals with u-substitution. Surprisingly, it wasn't that hard! All you need to do is find a "u" that can be substituted into the integral. Oftentimes, It's difficult to find the correct u, though. It takes a bit of guess-and-check sometimes. Other than that though, the only real issue was keeping the differentiating and antidifferentating parts of the problems straight. I would catch myself antidifferentiating when I was supposed to be differentiating and vice versa.
We continued on to solving definite integrals, which was a bit harder due to the fact that Cresswell wasn't here when we were introduced to the subject, so we had to fumble our way through the activity. But, I did learn how to do it, and turns out, it wasn't even that hard. For example, if you need to antiderive
Yup. This week in AP Calc, it was finally time to start Chapter 6: u-substitutions in definite and indefinite integrals. Huzzah!
Because Cresswell hates my chronologically ordered mind, we started with section 6.2 and learned how to antidifferentiate indefinite integrals with u-substitution. Surprisingly, it wasn't that hard! All you need to do is find a "u" that can be substituted into the integral. Oftentimes, It's difficult to find the correct u, though. It takes a bit of guess-and-check sometimes. Other than that though, the only real issue was keeping the differentiating and antidifferentating parts of the problems straight. I would catch myself antidifferentiating when I was supposed to be differentiating and vice versa.
We continued on to solving definite integrals, which was a bit harder due to the fact that Cresswell wasn't here when we were introduced to the subject, so we had to fumble our way through the activity. But, I did learn how to do it, and turns out, it wasn't even that hard. For example, if you need to antiderive