How does xmaxima calculate integrals?

Maxima takes care of actually computing the integral of the mathematical function. Maxima’s output is transformed to LaTeX again and is then presented to the user. The antiderivative is computed using the Risch algorithm, which is hard to understand for humans. That’s why showing the steps of calculation is very challenging for integrals.

What is the smallest positive number that is undefined?

The smallest positive number is 1 – 0.999… but that number is undefined because infinity does not exist. You can’t have an infinite amount of nines after the decimal point. That means there’s no number right before one. In the extended real number system, the smallest positive number is 0. That’s because 1 – 0.999… = 0.000… = 0

What is the definite integral of f(x)?

The definite integral of f (x) f (x) from x = a x = a to x = b x = b, denoted ∫b a f (x)dx ∫ a b f (x) d x, is defined to be the signed area between f (x) f (x) and the x x axis, from x= a x = a to x= b x = b. Both types of integrals are tied together by the fundamental theorem of calculus.

What integrals does the integral calculator support?

The Integral Calculator supports definite and indefinite integrals (antiderivatives) as well as integrating functions with many variables. You can also check your answers! Interactive graphs/plots help visualize and better understand the functions. For more about how to use the Integral Calculator, go to ” Help ” or take a look at the examples.

How does Wolfram|Alpha do integrals?

Wolfram|Alpha computes integrals differently than people. It calls Mathematica’s Integrate function, which represents a huge amount of mathematical and computational research. Integrate does not do integrals the way people do. Instead, it uses powerful, general algorithms that often involve very sophisticated math.

How do you find the difference between continuous and indefinite integrals?

Both types of integrals are tied together by the fundamental theorem of calculus. This states that if f (x) f ( x) is continuous on [a,b] [ a, b] and F (x) F ( x) is its continuous indefinite integral, then ∫b a f (x)dx= F (b)−F (a) ∫ a b f ( x) d x = F ( b) − F ( a).