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Evaluate
Solution:
The given equation above is Improper Integral where the limits are - ∞ and + ∞. In this case, we can split the limits as follows
Consider
Since the lower limit is -∞, we can rewrite the above equation as follows
Consider
Since the upper limit is +∞, we can rewrite the above equation as follows
Therefore,
Since the given Improper Integral has a value, then the given Improper Integral is convergent.