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jam_27
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Is this possible..
Say, a∫b f(x)dx = G(x)|x=b - G(x)|x=a = S, where S, a and b are known. Can we find G(x) ?
Say, a∫b f(x)dx = G(x)|x=b - G(x)|x=a = S, where S, a and b are known. Can we find G(x) ?
jam_27 said:Ok, then, how much can we proceed to? I mean can we write G (x) in terms of S, a and b plus some unknown?
Also, b=1 and a= 0 and S is a constant in my case.
An indefinite integral function is a mathematical function that represents the antiderivative of a given function. It is used to calculate the original function from its derivative.
A definite integral function has specific limits of integration, while an indefinite integral function does not. This means that a definite integral function will give a numerical value, while an indefinite integral function will give a general equation.
Yes, an indefinite integral function can be found if the definite integral value is known. This is because the definite integral value is equal to the difference between the indefinite integral function at the upper and lower limits of integration.
Yes, there are several methods for finding an indefinite integral function, such as substitution, integration by parts, and partial fractions. The appropriate method to use depends on the complexity of the given function.
Finding an indefinite integral function is important in many areas of science and engineering, as it allows for the calculation of important quantities such as displacement, velocity, and acceleration. It is also used in solving differential equations and in determining the area under a curve.