Anti derivatives are tough because I sometimes confuse them with regular derivatives.
f(x)=x^2-sin(x)
F(x)= x^3/3 + cos(x) + c
f(x)= tan^2(x) + 3dx
F(x)= 2x + tan(x) + c
U-sub is tough because it is hard to determine what u will be
x(1 - 3x^2)^4dx
u= 1-3x^2
du = -6xdx
answer: -1/30(1-3x^2)^5 + c
(1+sec(x))^2(sec(x)tan(x))dx
u= sec(x)
du=sec(x)tan(x)
answer: sec^3(x)/3 + sec^2(x) + sec(x)+ c
sqrt(x2-3x)dx
u= 2-3x
du = -3dx
answer: -2/135(2-3x)^3/2(9x+4) + c
Summation is tough because it's a lot of algebra and I'm not good at that, nor do I remember how to set up summation.
I'm lost on how to set up the problem given because of the given number of rectangles... Do I use that for the n value above the E symbol? And what is the change in x?
Limit definition is tough because we went over a much harder way to do it and I failed that quiz so now I feel cheated doing it.
f(x)= 4x-5 on [1,5]
Antiderivative: 2x^2 - 5x
2(5)^2 - 5(5) - (2(1)^2 - 5(1))
25 - (-3)
28
Using the disk method is tough because it has a lot of moving parts to the set up.
f(x) =sqrt(x) and x = 4, find the volume revolving about the x-axis
sqrt(x)^2 - (4)^2 from 0 to 4
