These rules can be used for the antidifferentiation of algebraic functions, exponential function, trigonometric functions, hyperbolic functions, logarithmic function, and constant function. Let …

Jun 6, 2025 · Understanding antiderivative rules goes hand in hand with differentiation. When rules like the power rule, product rule, or chain rule are used in differentiation, they guide the …

Find the general antiderivative of a given function. Explain the terms and notation used for an indefinite integral. State the power rule for integrals. Use antidifferentiation to solve simple …

Dec 1, 2025 · Antiderivatives include a family of functions that differ by a constant C, because the derivative of a constant is zero. Thus, the general form of the antiderivative is: F (x) = ∫f (x) dx …

OpenStax is part of Rice University, which is a 501 (c) (3) nonprofit. Give today and help us reach more students. © 1999-2026, Rice University. Except where otherwise noted, textbooks on …

This process finds a general rule for the family of functions whose derivative matches the given function; the specific rule can be found if more information is known about the function.

We have seen that the general antiderivative of a derivative of a function is just the function, plus a constant. Hence we can evaluate integrals where the integrand is one of the derivatives that …