post 13

Another week down and one more to go before Thanksgiving holidays. This week we learned about different types of integration. The first one is to find the area under a curve.
LRAM(left hand approximation)- delta x[f(a)+ f(a+x)...f(b-x0)]
RRAM(right hand approximation)- delta x[f(a+x)+...+f(b)]
MRAM(middle approximation)- delta x[f(mid) + f(mid)+...]
Trapezoidal- (delta x)/2[f(a)+2f(a+x)+2f(a+2x)+...f(b)]

The next two types of integration are indefinite and definite. The answer for indefinite integration is an equation. But on the other hand the answer for a definite intergration is a number.
Indefinite Integration-Sx^n(dx)={(x^n+1)/(n+1)}+C
Definine Integration-bSa f(x)dx=F(b)-F(a)=number

For old stuff that I know limit rule is not hard at all.
1. If the biggest exponent on the top and bottom are equal then the limit is the coefficient of the highest exponent on the top over the the coefficient of the highest exponent on the bottom.
2. If the biggest exponent is on the top then the limit is infinity.
3. If the bigger exponent is on the bottom then the limit is zero.

The steps for related rates are
1. Pick out all variables
2. Pick out all equations
3. Pick out what you are looking for
4. Sketch a graph and label
5. Create an equation with your variables
6. Take the derivative respecting time
7. Substitute back into the derivative
8. Solve

And the steps for tangent lines are
1. Take the derivative of the equation
2. Plug in the x value which gives you your slope
3. Use the slope you get and the point given and plug into slope intercept form (y-y1)=slope(x-x1)
*If a point is not given and only an x value is given plug the x value into the original which will give you a y value creating a point.

For what I am having problems with are minor problems that i am making in the work of he problems. I know for the most part how to work the problems I am just making small minor errors when working the problems which can only be fixed by working problems.