If a
To find the integral from a to c of f(x) with respect to x, we first need to find the antiderivative or the indefinite integral of f(x)
To find the integral from a to c of f(x) with respect to x, we first need to find the antiderivative or the indefinite integral of f(x). Let’s assume F(x) represents the antiderivative of f(x).
The definite integral from a to c of f(x) can be written as:
∫[a to c] f(x) dx
Using the second fundamental theorem of calculus, which states that the definite integral of a function can be evaluated using its antiderivative, we have:
∫[a to c] f(x) dx = F(c) – F(a)
This means that the definite integral of f(x) from a to c is equal to the difference between the antiderivative of f(x) evaluated at c and the antiderivative evaluated at a.
In summary,
∫[a to c] f(x) dx = F(c) – F(a)
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