So, now that I'm having the greatest day ever because I just realized that next week is Thanksgiving Break...I'll come do my blog.
This week was really good in calculus, except for the fact that i don't really grasp the LRAM, RRAM, and MIDPT. stuff..it's kinda weird in my head..so if anyone can clarify?
But i'll talk about integrals, which is like the opposite of a derivative. In a derivatve where you multiply the exponent to the coefficient, with integrals, you divide and add one to the exponent.
There are two types:
1. Indefinate - only an equation with the intergral symbol; you simply take the derivative backwards, you divide the exponent from the coefficient and add one to the exponent. Also, you MUST place a + c at the end of the equation. Why, you may ask, because you don't know if the beginning equation had a constant at the end of it, so you MUST mark it, or it will be COMPLETELY WRONG. YOU WILL ALWAYS GET AN EQUATION ANSWER.
Now, let's do an example problem:
S x^2 + 4x + 9
S (x/2)^3 + (2x)^2 + 9x + C
2. Definate Integrals - almost the same thing except there will be a number at the top and bottom of the integral symbol; the end of your equation will be marked with a dx. You treat it the same as an indefinate integral except you plug in the top number, or the b, into the derivative and then you have to SUBTRACT the plugged in bottom number, a, from the derivative plugged in. FOR THESE TYPES OF EQUATIONS, YOU WILL GET A NUMBER ANSWER, NOT AN EQUATION!
These are pretty simple, but just alot to remember because you have to remember not to take the derivative and to do the opposite. The thing i need help with would be the LRAM AND RRAM stuff..i never understand what to take from it..so can anyone help?
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well it's easy for me if i have the formualas in front of me.
ReplyDeletefirst of all delta x = b-a / n on the interval [a,b] with n subintervals (will be whole number).
So for LRAM you start with f(a) (the absolute left) and RRAM you start with f(a + deltax) (you'll end on the absolute right)