You may wish to note this:
Looking easier, yet?
Going through my book I've found this problem which I can't seem to find the answer to.
Directions: Evaluate the definite integral of the algebraic function.
--------------------------
Problem: Inegral symbol (the bottom of the symbol there is a 1 and at the top a 4)
u-2/ u^(1/2) .
----------------------
Can anyone help me in answering this? This probably seems like a simple and dumb question, but it seems that my algebra may be a bit weak.
Thanks
I can see what both of you did, and thank you. My last question would be what exactly do I do to bring the u^(1/2) to the numerator?
AlephZero: How exactly did you get to the second part ? I'm looking for small steps each time so I can diretly see whats going on. I can't seem to grasp it still.
Thanks to both of you again
Well, obviously not if the the denominator were 0. In the same sense that as long as .
If the lower limit of the integral were 0, that is, if it were , the integrand is not defined at u= 0 and so the integral is an improper integral. Your point is a good one but we can do the following:
Replace with . We can do that because u is not 0 there. That gives . And that goes to as goes to 0, the same as if we had must integrated