Integrate the function for the curve, as normal, but the change the sign of the result. Be very careful that the curve is always on the same side of the x-axis between the limits of integration. If necessary, partition the integral.
For example, to find the area between the x-axis and sin(x) between x=0 and x=3*pi, you will need
Integral of sin(x) between 0 and pi,
-[integral of sin(x) between pi and 2*pi] - this is where the curve is below the x-axis.
+integral of sin(x) between 2*pi and 3*pi.
The area under the normal curve is ALWAYS 1.
You need to determine the area under the curve between the values in question. This is easy to do because there are tables that give the area values.
In statistics you can find the area under a curve to establish what to expect between two input numbers. If there is a lot of area under the curve the graph is tall and there is a higher probability of things occurring there than when the graph is low.
The are under the curve on the domain (a,b) is equal to the integral of the function at b minus the integral of the function at a
It is 0.
The area under the standard normal curve is 1.
If this is on mymaths.co.uk then the answer to this question is: Integration. That is how to find the area under the curve.
The area under the normal curve is ALWAYS 1.
If the values of the function are all positive, then the integral IS the area under the curve.
There is no histogram below.However, the area under the curve for any histogram is the total frequency.
the standard normal curve 2
WORK
What is the area under the normal curve between z=0.0 and z=1.79?
You need to determine the area under the curve between the values in question. This is easy to do because there are tables that give the area values.
In statistics you can find the area under a curve to establish what to expect between two input numbers. If there is a lot of area under the curve the graph is tall and there is a higher probability of things occurring there than when the graph is low.
320 degrees
If the question is to do with a probability distribution curve, the answer is ONE - whatever the values of mu and sigma. The area under the curve of any probability distribution curve is 1.