SOLUTION: Please help me solve this equation: Explain why the following integrals are improper and determine whether they are convergent or divergent. Evaluate those that are convergent.

Algebra ->  Test -> SOLUTION: Please help me solve this equation: Explain why the following integrals are improper and determine whether they are convergent or divergent. Evaluate those that are convergent.       Log On


   

Question 362177: Please help me solve this equation:
Explain why the following integrals are improper and determine whether they are
convergent or divergent. Evaluate those that are convergent.
a. +int%28+xe%5E%28-3x%29%2C+dx%2C+0%2C+infinity+%29+
b. +int%28+1%2F+xln%5E2x%2C+dx%2C+pi%2C+infinity+%29+
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


These integrals are improper because you have to calculate them as a limit. You cannot calculate



directly. You must calculate:



From a table of integrals:



Substitute and replace the upper limit with an arbitrary variable, say and then take the limit as increases without bound.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism