What is the value of the integration of dx/x^2?

Originally Answered: What is the value of integration of dx/x^2? The integral of 1/x^2 with respect to x is -1/x + C, for any constant C. Differentiate it, and you get 1/x^2 8 clever moves when you have $1,000 in the bank. We’ve put together a list of 8 money apps to get you on the path towards a bright financial future.

What is integral integration in calculus?

Integration is an important tool in calculus that can give an antiderivative or represent area under a curve. The indefinite integral of f (x) f ( x), denoted ∫ f (x)dx ∫ f ( x) d x , is defined to be the antiderivative of f (x) f ( x).

How do you find the indefinite integral of a rational function?

The indefinite integral of this rational expression with respect to x is written in calculus as follows. The indefinite integration of this rational function is equal to product of the reciprocal of the two times the constant and the natural logarithm of the quotient of the difference by sum of them.

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.

What is the indefinite integral of f(x)?

The indefinite integral of `f(x)`, denoted `int f(x)\\ dx`, is defined to be the antiderivative of `f(x)`. In other words, the derivative of `int f(x)\\ dx` is `f(x)`. Since the derivative of a constant is zero, indefinite integrals are defined only up to an arbitrary constant.

How do you split an integral into multiple integrals?

Divide 8 8 by 1 1. Split the single integral into multiple integrals. Since 1 1 is constant with respect to t t, move 1 1 out of the integral. Let u = 2t u = 2 t.

How do you find the area of a definite integral?

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