AI explanations are generated using OpenAI technology. AI generated content may present inaccurate or offensive content that does not represent Symbolab's view.
Isaac Newton and Gottfried Wilhelm Leibniz independently discovered the fundamental theorem of calculus in the late 17th century. The theorem demonstrates a connection between integration and differentiation.
Why do we add +C in integration?
The derivative of the constant term of the given function is equal to zero. In the integration process, the constant of Integration (C) is added to the answer to represent the constant term of the original function, which could not be obtained through this anti-derivative process.
Why is it called indefinite integral?
The indefinite integral of the function is the set of all antiderivatives of a function. It is customary to include the constant C to indicate that there are an infinite number of antiderivatives.