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gavmur [86]
3 years ago
11

Determine whether the improper integral converges or diverges, and find the value of each that converges.

Mathematics
1 answer:
kiruha [24]3 years ago
3 0

Answer:

Diverges

Step-by-step explanation:

For the improper integral to converge the limit must exist, if the limit does not exist or is infinite the integral diverges;

\int\limits^a_b {(2x+4)/x^2+4x+5} \, dx#

Where a and be is infinity

The solution of this is infinity and therefore the integral diverges because the first expression is undefined because ∞/∞, the second term is 4·∞ which is infinity and infinity added to any number is infinity

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