Consider the following theorem. Theorem If f is integrable on [a, b], then b a f(x) dx = lim n→∞ n i = 1 f(xi)Δx where Δx = b − a n and xi = a + iΔx. Use the given theorem to evaluate the definite integral. 7 (x2 − 4x + 7) dx 1
Consider the following theorem. Theorem If f is integrable on [a, b], then b a f(x) dx = lim n→∞ n i = 1 f(xi)Δx where Δx = b − a n and xi = a + iΔx. Use the given theorem to evaluate the definite integral. 7 (x2 − 4x + 7) dx 1
Consider the following theorem. Theorem If f is integrable on [a, b], then b a f(x) dx = lim n→∞ n i = 1 f(xi)Δx where Δx = b − a n and xi = a + iΔx. Use the given theorem to evaluate the definite integral. 7 (x2 − 4x + 7) dx 1
Use the given theorem to evaluate the definite integral.
7
(x2 − 4x + 7) dx
1
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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