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To define the functions f(x,y) and g(x,y,z), in ALG mode, use:
DEF(f(x,y)=x*COS(y)) ` DEF(g(x,y,z)=√(x^2+y^2)*SIN(z) `
To type the derivative symbol use ‚¿. The derivative ∂ ( f ( x, y)) , for
∂x
example, will be entered as ∂x(f(x,y)) ` in ALG mode in the screen.
Multiple integrals
A physical interpretation of the double integral of a function f(x,y) over a region R on the
b g ( x) | d | s( y ) |
∫∫φ( x, y)dA = ∫ a ∫ f ( x) φ ( x, y)dydx = ∫ c | ∫r ( y ) φ( x, y)dydx |
R
Calculating a double integral in the calculator is straightforward. A double integral can be built in the Equation Writer (see example in Chapter 2 in the user’s guide), as shown below. This double integral is calculated directly in the Equation Writer by selecting the entire expression and using function @EVAL. The result is 3/2.
Reference
For additional details of
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