`int_0^4 1/sqrt(x) dx` Explain why the integral is improper and determine whether it diverges or converges. Evaluate the integral if it converges

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The integral is improper because the function under the integral is not defined at zero (see the image below).

`1/sqrt0=1/0`

`int_0^4 1/sqrt x dx=2sqrt x|_0^4=2(sqrt 4-sqrt0)=4`

The integral converges and its value is equal to 4.

The image below shows graph of the function and area under it representing...

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The integral is improper because the function under the integral is not defined at zero (see the image below).

`1/sqrt0=1/0`

`int_0^4 1/sqrt x dx=2sqrt x|_0^4=2(sqrt 4-sqrt0)=4`

The integral converges and its value is equal to 4.  

The image below shows graph of the function and area under it representing the value of the integral. 

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