Question

Evaluate the improper integral or show that it diverges. \int_{-\infty}^{1} \frac{dx}{(3x - 11)^3} Select the correct choice below and fill in any answer boxes within your choice. A. \int_{-\infty}^{1} \frac{dx}{(3x - 11)^3} = \square B. The integral diverges.

          Evaluate the improper integral or show that it diverges.
\int_{-\infty}^{1} \frac{dx}{(3x - 11)^3}
Select the correct choice below and fill in any answer boxes within your choice.
A. \int_{-\infty}^{1} \frac{dx}{(3x - 11)^3} = \square
B. The integral diverges.

Evaluate the improper integral or show that it diverges.
∫-∞^1 (dx)/((3x - 11)^3)
Select the correct choice below and fill in any answer boxes within your choice.
A. ∫-∞^1 (dx)/((3x - 11)^3) = □B. The integral diverges.

Added by Johnny V.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Imogen Dell

Step 1

Using the power rule for integration, we can expand the expression as follows: (3x - 11)^3 = (3x - 11)(3x - 11)(3x - 11) = (9x^2 - 66x + 121)(3x - 11) = 27x^3 - 297x^2 + 1089x - 1331 Now, we can integrate term by term: ∫(3x - 11)^3 dx = Show more…

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Evaluate the improper integral or show that it diverges. âˆ«(3x - 11)^3 dx Select the correct choice below and fill in any answer boxes within your choice: âˆ«(3x - 11)^3 dx The integral diverges.