I'm tutoring someone in Calc I over the summer and she came to me with the following two problems on a pre-test. It's been awhile since I've done u-substition, and I think I've got it right, but don't want to set her on the wrong track. The problems:
1) (integral of) ((ln(rt(x))) / x )dx
2) (integral from -8 to 0) (1 / (rt(1-x)))dx
I didn't get much out of the first, but the second, I found it to be -2 + 2(rt(-7)). Would someone be able to verify this result, as well as assist with the first problem?
Thanks in advance!