Integration

Question 1

What is integration?

Answer 1

The reverse process of differentiation

Question 2

How do you integrate?

Answer 2

dy/dx = aX^b + z
y = a/b+1X^b+1 + zx + c

Question 3

Why do you +c in integration?

Answer 3

Because you don’t know whether a value has been added or taken away

Question 4

What is the notation for integration?

Answer 4

f x^n dx
f - integration
x^n - expression
dx - integrate with respect to x

Question 5

How do you solve Indefinite Integrals?

Answer 5

P(w, z)
f'(x) =  aX^b + d
f(x) = a/b+1X^b+1 + dx +c
substitute 
z = a/b+1(w) + d(w) + c
solve for c and put in equation

Question 6

How do you solve definite integrals? (area)

Answer 6

r b
|
j a …….. dx

[…] b
[…] a

(…) - (…)

Question 7

What do you do if your integration values are both positive and negative?

Answer 7

Do them separately
positive to 0
0 to negative

Question 8

How do you solve the area between a curve and a line?

Answer 8

Find the area of the whole region and then subtract the area of the curve (definite integral)