What is the difference between integral and antiderivative?
The Riemann integral is what is usually called the definite integral: – quote (see http://mathworld.wolfram.com/RiemannIntegral.html ) – The Riemann integral is the definite integral normally encountered in calculus texts and used by physicists and engineers. Other types of integrals exist (e.g., the Lebesgue integral), but are unlikely to be encountered outside the confines of advanced mathematics texts. – end quote – According to http://www.math.hmc.edu/calculus/tutorials/antiderivatives/ the anti-derivative is the indefinite integral, as for any F(x) = integral( f(t) dt ) from a to x, adding a constant C to the function F will not change its derivative, which will always be f(x). Thus, the anti-derivative is the indefinite integral, whereas the Riemann integral is the definite integral, but the only difference between the two is in the existence (or lack thereof) of specified limits on the integration.
