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All of these integrals have lower bounds of 0 and upper bounds of infinity:

Problems 1 and 2 just require me to determine whether it converges or diverges. 3 and 4 actually require a value.

1) e^(-x) * sqrt(x)

2) [tex]\frac{x*arctan(x)}{(1+x^4)^(1/3)}[/tex]

3) e^(-x) / sqrt(x)

4) x^2 * e^[-(x^2)]

I tried to use integration by parts but I went in circles

[Edit:] number 2 should have (1+x^4)^(1/3) in the denominator

Problems 1 and 2 just require me to determine whether it converges or diverges. 3 and 4 actually require a value.

1) e^(-x) * sqrt(x)

2) [tex]\frac{x*arctan(x)}{(1+x^4)^(1/3)}[/tex]

3) e^(-x) / sqrt(x)

4) x^2 * e^[-(x^2)]

I tried to use integration by parts but I went in circles

[Edit:] number 2 should have (1+x^4)^(1/3) in the denominator

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