114k views
2 votes
F(x)= Integral from x^2 to 1 of (e^t) dt. How do I find the antiderivative to graph this function?

User Tim AtLee
by
5.8k points

1 Answer

6 votes

In calculus, an antiderivative, primitive function, primitive integral or indefinite integral[Note 1] 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 are related to definite integrals through the fundamental theorem of calculus: the definite integral of a function over an interval is equal to the difference between the values of an antiderivative evaluated at the endpoints of the interval.

User Haehn
by
5.9k points