tailieunhanh - Lecture Mathematics 53: Lecture 4.1 - UP Diliman

In calculus, an antiderivative, primitive function, primitive integral or indefinite integral of a function f is a differentiable function F whose derivative is equal to the original function f. This can be stated symbolically as F′ = f. The process of solving for antiderivatives is called antidifferentiation (or indefinite integration) and its opposite operation is called differentiation, which is the process of finding a derivative. | Antiderivatives and Antidifferentiation Mathematics 53 Institute of Mathematics UP Diliman Instituteof Mathematics UP Diliman Antidifferentiation Mathematics 53 1 30 For today Antiderivatives and Antidifferentiation Integration by Substitution Instituteof Mathematics UP Diliman Antidifferentiation Mathematics 53 2 30 Antiderivatives PROBLEM Suppose F1 x 2x what is F x ANSWER F x x2 Is this the only function satisfying F x 2x Instituteof Mathematics UP Diliman Antidifferentiation Mathematics 53 4 .

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