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Input interpretation:

first fundamental theorem of calculus (mathematical problem)


Statement:

If f is continuous on the closed interval [a, b] and F is the antiderivative (indefinite integral) of f on [a, b],  then  integral_a^bf(x) dx = F(b) - F(a).


History:

status | proved\nproof date | 1668 (349 years ago)\nprovers | James Gregory  |  Isaac Barrow\nadditional people involved | Gottfried Leibniz  |  Isaac Newton


Associated equation:

 integral_a^bf(x) dx = ( integral f(x) dx\/.x->b) - ( integral f(x) dx\/.x->a)


Classes:

solved mathematics problems  |  mathematics theorems

Source information
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