Determine whether the improper integral converges or diverges, and find the value of each that converges.
∫^[infinity]_3 1/(x+1)^3 dx

Convergent; .

Step-by-step explanation:

We have been given an integral as . We are asked to determine whether our given integral converges or diverges.

Let us integrate our given integral by u substitution as:

Now, we will compute the boundaries.

Our definite integral would be

Therefore, our given integral is convergent and its value is .

the answer is c)8

step-by-step explanaction:

2x^2+5x+17

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