2. Find F(x) when f(x) = x^2-sin(x) F(x)= (x^3)/3 + cos(x)
Find F(x) when (tan^2)x+3 dx
3. Find F(x) when f(x)= 3x^2 - 1/x^3 F(x)= x^3 - (x^-2)/2
1. Using U-Substitution to evaluate integrals is difficult because I always lose track of what to do with the du and what number to put out in front of the integral. I just make simple mistakes each time that cost me. I have only gotten a couple u-substitution questions right in my life. Out of numerous.
2.Find the definite integral of x(1 - 3x^2)^4dx
Find the definite integral of (1+sec(x))^2(sec(x)tan(x))dx
Find f(x) when f(x) = x(2-3x)^1/2 dx
3.
1. I can find the area between two curves. This is difficult because the equations must be graphed to see which one is on top, but this concept as a whole is fairly easy, as a step into washer/disk method.
2. Find area of the region bounded by : f(x) = 2x-2 g(x) = -x^2-2x+3
Find area of the region bounded by : f(x) = 2x^3-1, g(x) = 2x-1
3.
1. Using Fundamental Theorem of Calculus Part I is not very difficult all, as long as I can remember what it is. And FTC Part 2 is a little harder but when I look in my binder and recall it I'm sure it won't be as difficult as I remember. Still don't know if I did it right.
2.
3.
1. Using disks is difficult when attempting to figure out what to subtract or add in the equation for me. I learned a trick, but the hard part will be recalling that. And remembering to take it in terms of x or y's.
2. Region bounded by f(x)= sqrt(x) and x=4 revolved about x axis.
3.
