Mathematics, 22.06.2019 01:10
Evaluate 8x2 + 9x โ 1 2x3 + 3x2 โ 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 โ 2x = x(2x2 + 3x โ 2) = x(2x โ 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the formโ 8x2 + 9x โ 1 x(2x โ 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x โ 1)(x + 2), obtaining 8x2 + 9x โ 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x โ 1).
Answers: 3