Integral

i can't find the anti-derivative of these

1) Assuming they converge, the definite integral has a specific value. Call the value "A". The subsequent anti-derivative, then, would be Ax + C.

2) Can you prove that they converge? I'm worried about that first one around x = 0.

3) That last one is kind of an Error Function, isn't it? Maybe its complement?

4) What is your assignment and why do you believe either anti-derivative can be determined?

Quote:

---

Originally Posted by TKHunny

1) Assuming they converge, the definite integral has a specific value. Call the value "A". The subsequent anti-derivative, then, would be Ax + C.

2) Can you prove that they converge? I'm worried about that first one around x = 0.

3) That last one is kind of an Error Function, isn't it? Maybe its complement?

4) What is your assignment and why do you believe either anti-derivative can be determined?

---

I have to find out if they converge or diverge.

Quote:

---

Originally Posted by larryboi7

I have to find out if they converge or diverge.

---

the first one is divergent.

the second one seems to be reducible to some form of the gamma function.