Question

Determine whether the integral is convergent or divergent. Evaluate those that are convergent.

Answer 1

Step 1:

The integral is .

consider .

is continuous on the interval and it is not continuous at , then

Here we need to use a right hand limit, since the interval of integration is entirely on the right side of the lower limit.

.

The limit exists and is finite, so the integral is convergent and its value is .

Solution :

The integral is convergent.

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