Integration involves finding the antiderivative of a function from "summary" of Skills in Mathematics - Integral Calculus for JEE Main and Advanced by Amit M Agarwal
The process of integration revolves around the idea of finding the antiderivative of a given function. In simpler terms, the antiderivative of a function is essentially the reverse process of differentiation. When we differentiate a function, we find its rate of change. On the other hand, when we integrate a function, we are essentially undoing the differentiation process to find the original function. To put it simply, integration helps us to recover the original function from its rate of change. This process involves finding an expression that, when differentiated, yields the given function. The antiderivative of a function is not unique, as we can add a constant term to the result since the derivative of a constant is zero. In calculus, the symbol ∫ represents integration, and the antiderivative of a function f(x) is denot...
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