# F z a x 2 b x 1 c x 1 2 d x 1 e x 1 2 fx g x 2 2 hx i

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Determine the numerical values of A and B , where B A and 8 x x 2 + 6 x + 9 = A denominator + B denominator
Z 7 3 8 x x 2 + 6 x + 9 dx I = Z 9 x 3 + 9 x 2 + 5 x + 5 x 4 + 1 x 2 dx . The integrand has the following partial fraction decomposition: 1
4. (1 pt) Consider the indefinite integral: I = Z 2 x 2 - 16 x + 54 ( x + 4 )( x 2 + 9 ) dx
3. (1 pt) Consider the definite integral: The integrand has the following partial fraction decomposition: 2 x 2 - 16 x + 54 ( x + 4 )( x 2 + 9 ) = A x + 4 + Bx + C x 2 + 9 (a) Determine the value of the following constants:
A x 2 + B x + Cx + D x 2 + 1 . (a) Determine the value of the following constants: (b) Evaluate the indefinite integral. Correct Answers: 5 5 4 4 -5/x+5*ln(|x|)+2*ln(xˆ2+1)+4*atan(x/1)+C 6. (1 pt) ¡u¿NOTE REGARDING PROBLEMS 6 TO 11 IN HOMEWORK SET 10B¡/u¿ THE REMAINING PROBLEMS IN THIS ASSIGNMENT WILL INVOLVE THE USE OF ONE OF THE SUBSTITU- TION RULE, COMPLETING THE SQUARE, OR PARTIAL FRACTION EXPANSION. AS ALWAYS, IT IS HIGHLY RECOMMENDED THAT YOU ATTEMPT THE ASSIGNED PROBLEMS FROM THE TEXT BEFORE TRYING THESE PROBLEMS.