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Which of the following statements are true? Select all that apply. Each correct response is worth positive fractional marks (to a max of 1 mark)
Which of the following statements are true? Select all that apply. Each correct response is worth positive fractional marks (to a max of 1 mark) and each incorrect response is worth negative fractional marks (to a min of 0). JA. / h'(x)dx = h(x) + C for some arbitrary constant C. O B. If h(x) = g(x) then h(x)dx = g(x) + C for some arbitrary constant C. dx O c. dx h ( x ) dx = h ( x ) O D. If a h(x) = f(x) then / f(x)dx = h(x) + C for some arbitrary constant C. dx O E. If d h(x) = f(x) then / f(x)dx = Ch(x) for some arbitrary constant C. dxX Determine S[(2) + x 1/2 dx 1 2 O A. - + 512 + C X In(2) . 2x x+1 O B. + W N - X 3/2 + C x +1 O C. + W / N X 3/2 + C In(2) . 2x 2 O D. - + - X 3/2 + C In(x) . 2x X 2 O E. + - X 3/2 + C In(1/2) NWhich of the following statements is true? O A. If f'(x) = 2 for all x and if and f(0) = 0 then / f(x)dx = kx + C for some constant C. O B. dx = In | In(x)| + C for some constant C. In(x) O C. f' (x) = 2 for all x and if and f(0) = 0 then / f(x)dx = x2 + C for some constant C. O D. If / f(x)dx = C then f(x) = C + x for some constant C
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