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9. (10 Points) Evaluate the following integrals. In the case of an definite integral, your answer should be a real number. In the case of an indefinite integral, your answer should be the most general antiderivative as a function of the original variable. (i) (3 points) (2x + 1)²dx (ii) (3 points) Co (iii) (4 points) -x-² xe dx 2 cos x 1+4 sin² x -dx.

Use the limit definition to find the exact A(R), the area of the region under the curve of g(x) = 6 - 2x when 1 ≤ x ≤ 3. Show all your work.