how to calculate pi using integral in matlab

One way to estimate the value of pi using integral in Matlab is by using the following formula:

pi = 2*integral(@(x) sqrt(1-x.^2),0,1)

Explanation:

• The integral function is used to calculate the area under the curve of the function sqrt(1-x^2) between x=0 and x=1.
• The formula for the area of a circle is pi*r^2. Since the radius of the circle is 1, the area is equal to pi.
• The integral function returns an estimate of the area under the curve of the function between x=0 and x=1.
• To get an estimate of pi, we multiply the result by 2.

Here's the Matlab code for calculating pi using integral:

main.m
pi = 2*integral(@(x) sqrt(1-x.^2),0,1)
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The result should be close to the actual value of pi.