Problems 3 and 4: Evaluating Integrals by Hand Problem 3 A company's marginal cost is given by the following function: MC(q) = 92 -49+3000 In this function, q represents the number of units sold and MC is measured in dollars. Using this function, find the total cost of producing the first 30 units. Problem 4 Evaluate the following integrals. You will not receive credit if you do not show your work. e3t a. - 1 + e3t dt b. S x 1 - x2 dx (Note: Evaluating definite integrals with substitution is tricky, because the limits of integration are values of x, not u. To handle this, solve the corresponding indefinite integral, then use the antiderivative you found to evaluate the given definite integral.)