Calculus Flashcards
1
Q
Integration by parts
A
A method of doing an integral where you take one part of the integral set equal to u, and the rest equal to dv. Then plug into the formula uv- Svdu
2
Q
U substitution
A
A method of doing an integral where you set part of an integral equal to u, so you can take the derivative of an easier function, then plug the u back in after
3
Q
int(7x^2 ln(x) dx); u = ln(x), dv = 7x2 dx
A
(7x^3ln(x))/3-(7x^3)/9+C
4
Q
int(9xcos(x)dx); u = 9x dv = cos(x)dx
A
9xsin(x)+9cos(x)+C
5
Q
A
6
Q
A
7
Q
A
8
Q
A
9
Q
A
10
Q
A
11
Q
Convergent or Divergent
A
convergent at 0
12
Q
Convergent or Divergent
A
Convergent
13
Q
A
14
Q
A
15
Q
Find volume about the x-axis
A