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Evaluate the following integral 8x +x+33 + 1)(x +4 dx Can partial fraction decomposition be used...
Evaluate the following integral. + 6x - 1 dx X-X Find the partial fraction decomposition of the integrand. St*6x=1&x=SO dx Evaluate the indefinite integral. S*** + 6x - 1 3 X-X dx =
Evaluate the following integral. X2 + 16x-4 S*** dx x2 - 4x Find the partial fraction decomposition of the integrand. 1 * +18 x2 + 16x-4 dx = x² - 4x JOdx Evaluate the indefinite integral. *x? + 16x-4 dx = 3 х - 4x
6. Use the method of partial fractions to evaluate the indefinite integral. 8x' + 13x •dx (x + 2) 7. Consider a. Using complete sentences, explain why the integral is improper. b. Evaluate the improper integral to determine its convergence or divergence.
Evaluate the following integral or state that it diverges. 00 dx S x2 + 256 - 00 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. dx ОА. s (Type an exact answer, using * as needed.) + 256 OB. The improper integral diverges.
Evaluate the following integral or state that it diverges. 00 dx 1 x +49 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 00 O A. dx s x? +49 (Type an exact answer, using e as needed.) 00 OB. The improper integral diverges.
8. Evaluate the indefinite integral: S(5x3 + 2 cos x )dx a. b. S(4x3 – 8x + 7) dx
Show the partial fraction decomposition for the following expressions a) x-100 (2 marks) 2+8x-48 x+-34x +21x +145 -4x2 -3x+18 (2 marks) b) (2 marks) i) For each partial fraction decomposition answer from part a) use the expression i) Comment on the significance of the results. Show the partial fraction decomposition for the following expressions a) x-100 (2 marks) 2+8x-48 x+-34x +21x +145 -4x2 -3x+18 (2 marks) b) (2 marks) i) For each partial fraction decomposition answer from part a) use...
Evaluate the integral or state that it diverges. 00 dx 14 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 8 dx OA. s Vx 14 OB. The improper integral diverges.
Evaluate the following integral using the partial fraction method Jee - А) Зах — 1 dx х (х2 — 4).
Evaluate the given definite integral. S (1-x)?dx dx = (Type an integer or a simplified fraction.)