Consider the following theorem. Theorem If f is integrable on [a, b], then f(x) dx lim f(x;)Ax %3D la i = 1 b — а and x, = a + iAx. where Ax Use the given theorem to evaluate the definite integral. |(7x2 + 7x) dx 2

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A: Let I=∫0bfxfx+fb-xdx   I=∫0bfxfx+fb-xdx                     ....... (1) use ∫0afxdx=∫0afa-xdx…