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PS5: Problem 15 Previous Problem Problem List Next Problem (1 point) Consider the following indefinite integral. 613 + 5x2 - 47x - 36 x2 -

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PS5: Problem 15 Previous Problem Problem List Next Problem (1 point) Consider the following indefinite integral. 613 + 5x2 - 47x - 36 x2 - 9 The integrand decomposes into the form: C ax +b+ I - 3 I+3 Compute the coefficients: C d Now integrate term by term to evaluate the integral. Answer. +cPS5: Problem 16 Previous Problem Problem List Next Problem (1 point) The form of the partial fraction decomposition of a rational function is given below. 7x- + 4x + 27 A Br + C ( + 1)(x2 +9) + +1 A B Now evaluate the indefinite integral. 7x- + 4x + 27 dx (x + 1)(x2 +9)PS5: Problem 17 Previous Problem Problem List Next Problem (1 point) Part 1 of 2: This is a multi-part problem. If F(x) = +vote, find F'(x). =PS5: Problem 18 Previous Problem Problem List Next Problem (1 point) Find the particular antiderivative that satisfies the following conditions: dy = 87 2 +7x-1 -4; y(1) = 5. y

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