Applications of integration

Question 1

What is the method for calculating the are between 2 curves

Answer 1

1. Equate them to one another
2. Calculate where the points of intersection are
3. calculate the integral by subtracting the ‘smaller’ curve from the ‘bigger’ curve

Question 2

How do you calculate the mean value?

Answer 2

Mean = (integral of a function f(x) with limits b and a) divided by (b - a)

Question 3

Define RMS

Answer 3

it’s the root of the mean of the square of the function

Question 4

What does a greater RMS mean?

Answer 4

More variation in the function

Question 5

What is the equation for the RMS

Answer 5

RMS = the square root of the mean value (f(x) squared)