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Assuming you are integrating with respect to one of the three variables, you integrate normally. For example:
∫(x+y+z)dx
= ∫ x dx + ∫ y dx + ∫ z dx (Integral of the sum is the sum of the integrals)
= x^2/x + yx + zx + C
Or a harder one:
∫ (sin^2(y)+sqrt(z))/x dx
= (sin^2(y) + sqrt(z))*∫ 1/x dx (Factor out constants)
= ln(x)*(sin^2(y) + sqrt(z))
tl;dr: just do it normally with normal integration rules
To integrate a three-variable function, you need to perform a triple integral. This involves integrating the function with respect to each variable individually, in the order specified by the given problem. The result will be a scalar value representing the integral of the three-variable function over the specified region.
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How the exponential logarithm and trigonometric functions of variable is different from complex variable comment?
The exponential function, logarithms or trigonometric functions are functions whereas a complex variable is an element of the complex field. Each one of the functions can be defined for a complex variable.
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