Integral
or with the command integral().Syntax
integral(Expression, Variable)integral(Expression, Variable, Lower limit, Upper limit)integral(Expression, Variable, Constant)Examples
Integration
You can calculate definite and indefinite integrals. Add conditions using the | operator.
Circle and sphere with CAS
You can calculate the area of a circle or the volume of a sphere using definite integrals. The solve command is used to isolate y from the equation of a circle.
Integral as a sum
An approximate value of an integral can be calculated using a sum by dividing the interval into subintervals. The number of subintervals can be adjusted with a slider, improving the accuracy of the sum. As the number of subintervals increases without bound, the limit of the sum equals the exact value of the integral.
Area between curves using integrals
The area between curves can be calculated by integrating the absolute value of the difference between the functions. Integrals involving absolute values may lead to difficult calculations, so an exact result is not always obtained directly. The problem can then be divided into parts by determining the order of the functions.
Normal distribution
To calculate probabilities for a normal distribution, you can first define the probability density function using normPdf 5: Probability > 5: Distributions > 1: Normal Pdf..., and compute the result with an integral. The same result can be obtained more directly using the guided normCdf function 5: Probability > 5: Distributions > 2: Normal Cdf....