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Please could you do the ones that are circled? In Exercises 29 - 34, a definite integral f ( x) dx is given . 35

Please could you do the ones that are circled?

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In Exercises 29 - 34, a definite integral f ( x) dx is given . 35 . *' dx , using the Right Hand Rule . (a) Graph f(x) on [a, b]. (b) Add to the sketch rectangles using the provided rule. 36 . 3 x dx , using the Left Hand Rule . (c) Approximate f(x) dx by summing the areas of the rectangles. 37 . (3 x - 1 ) dx , using the Midpoint Rule . 29 . x dx , with 6 rectangles using the Left Hand Rule . 38 . ( 2x 7 - 3 ) dx , using the Left Hand Rule . 30 (5 - x x ) dix , with 4 rectangles using the Midpoint Rule . 29 1 15 - x) dx , using the Right Hand Rule. 31 . sin x dx, with 6 rectangles using the Right Hand Rule. 40 . ( x ' - x ) dx , using the Right Hand Rule . 32 2* dx , with 5 rectangles using the Left Hand Rule . Review 33 . In x dx, with 3 rectangles using the Midpoint Rule. In Exercises 41 - 46, find an antiderivative of the given func- tion. 34 . dx, with 4 rectangles using the Right Hand Rule. 41. f(x) = 5 sec2 x In Exercises 35 - 40, a definite integral 42. f ( x ) = _ f(x) dx is given. As demonstrated in Examples 5.3.6 and 5.3.7, do the following. 43. g(t) = 415 - 513 + 8 (a) Find a formula to approximate f(x) dx using n 44. g(t) = 5 . 8 subintervals and the provided rule. (b) Evaluate the formula using n = 10, 100 and 1, 000. 45. g(t) = cost + sint (c) Find the limit of the formula, as n - co, to find the 46. f (x) = exact value of / f(x) dx. 235

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