Integration

Question 1

reimann sum

Answer 1

lim(sum of area of rectangles)
- lim(sum(f(ci)change in xi))

Question 2

antiderivative

Answer 2

F(x) is the antiderivative of f(x)
- F(x) = x^2
- f(x) = 2x

Question 3

what is the newton-leibniz formula

Answer 3

integral a to b(f(x) dx = F(b) - F(a)

Question 4

how to tell if the symmetric domain is even or odd

Answer 4

integral a to -a f(x) dx = 0 means its odd

Question 5

integral x^p dx

Answer 5

x^(p+1)/(p + 1) + c

Question 6

integral x^(-1) dx

Answer 6

ln|x| + c

Question 7

integral sin x dx

Answer 7

-cos(x) + c

Question 8

integral cos x dx

Answer 8

sin(x) + c

Question 9

integral tan(x) dx

Answer 9

-ln(cos(x)) + c