Definite Integral

The definite integral of f(x) is a NUMBER and represents the area under the curve f(x) from x=a to x=b.

Indefinite Integral

The indefinite integral of f(x) is a FUNCTION and answers the question, "What function when differentiated gives f(x)?"

Fundamental Theorem of Calculus

The FTC relates these two integrals in the following manner:

To compute a definite integral, find the antiderivative (indefinite integral) of the function and evaluate at the endpoints x=a and x=b.

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