Post #13

Calculus - Week 13

Okay, first off. I'm royally p*$$ed as the time of this post. My calculator, yet again, is broken... Anyway..

As for what we did / learned this week.

We took a quiz on limits - easy.
We learned LRAM, RRAM, MRAM, and Trapezoidal calculations of approximating area under a curve.

We then learned integrals, which is not an approximation but an exact answer.

Two types include indefinite and definite integrals.

Indefinite will give you an equation. Definite will give you a number.

For integration you basically do the opposite of a derivative. For polynomials, you multiply each term by the reciprocal of its current exponent + 1 and add 1 to the exponent. For anything else you simply go to your list...for example the integral of cos is just sin (the derivative of sin is cos). Another example is (1/x) will be ln(x).

For definite integrals you have the same thing except it now gives you an interval that it wants the area under. So the number on top of the integral symbol is b and the number on the bottom is a. So once integrating, you will do F(b) - F(a) where F(x) denotes the integrated f(x).

It's all pretty simple...will just take us some time to get used to it.

Anyway, going back to being p/oed.