Integration (Chapter 5 and 7.1 & 7.2) Flashcards
1
Q
What is the Mean Value theorem for Integrals?
A
(int) a_to_b f(x) dx = f(c)(b-a)
2
Q
What is the Average Value formula for integrals?
A
1/(b-a) * (int) a_to_b f(x) dx
3
Q
What is the Net Change formula for integrals?
A
(int) Fâ(x) dx = F(b) - F(a)
4
Q
What is the integral of tan u du?
A
-Ln |cos u| + C
5
Q
What is the integral of cot u du?
A
Ln |sin| + C
6
Q
What is the integral of sec u du?
A
Ln |sec u tan u| + c
7
Q
What is the intergral of csc u du?
A
-Ln |csc u + cot u| + C
8
Q
What is the integral for volume of a disk?
A
(pi) (int) a_to_b (R(x))^2 dx
9
Q
What is the integral for volume of a washer?
A
(pi) (int) a_to_b [(R(x)^2 - r(x)^2] dx
