Theorem If f is integrable on [a, b], then where Ar= | f(x) dx = lim Σ f(x) Δx b-a n and x₁ = a + i Ar Use the form of the definition of the integral given in the above Theorem to evaluate the integral ²₁ (4x²+x+2) dx

Consider the following theorem. Theorem If fis integrable on [a, b], then f(x) dx = lim n- 00 i = 1 b - a where Ax = = a + iAx. Use the given theorem to evaluate the definite integral. (8х2 + 8x) dx

Qz5. Please answer this question

Consider the following theorem. Theorem If f is integrable on [a, b], then 9. n f(x) dx = lim S {(x;)Ax n> 00 i = 1 b where Ax = — а and x; * = a + ¡Ax, n Use the given theorem to evaluate the definite integral. (7x2 + 7x) dx -2