A couple questions on integration

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Hey everyone,
I've been having a little trouble with a few HW questions. If you guys could point me in the direction (ie- help me find the method to solve) I would really appreciate it. The q's are:
1. The definite integral from 3 to 8 of- x^4(ln3x)dx
For this one I am not sure wether I should make a substitution of y=3x and then do integration by parts or if there is an easier method.
2. The indefinite integral of- 27x^2(cos(3x))
Again I think that a substitution may be necessary although I can't seem to figure out what it is.
Thanks to anyone who can help me out!
Thanks
 
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HINT: Try integration by parts. :)
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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