14 - Exponentials and logs

Question 1

How do you integrate if f’(x) = x^n

Answer 1

f(x) = (1/n+1)x^n+1

Add 1 to the power then divide by the new power.

Question 2

When using indefinite integrals what do you need to remember

Answer 2

To add +c at the end

Question 3

How would you find the value of +c

Answer 3

Integrate to get the original equation, then substitute x and y points .

Question 4

How could you rewite this

S(f(x) + g(x))dx

Answer 4

Sf(x)dx + Sg(x)dx

Question 5

What does the dx symbol mean in integration.

Answer 5

It means in regards to x

You are integrating a function to find the original ewuation in terms of x

Question 6

How is the definite integral written if its between x = [a,b]

Answer 6

b
s f’(x) dx
a

       b = [f(x)]
       a

=f(b) - f(a)

Question 7

How do you find the area of a positive curve, between the points, a and b

Answer 7

b
s y dx
a

Question 8

What happens when the area is under the graph

Answer 8

You will have a negative answer

As areas cant be negative write it as a positive solution