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Basic Integration Question

Hi all,

I've been learning the basics of integration recently, and as I was working through some exercises, I came across a question as seen on the attachment.

Attachment 19372

Now, I understand everything up to the part where the square root of "x" is multiplied by 2. In other words, I do not understand how (x to the power of 1/2) divided by 1/2 becomes 2 x square root(x) (a surd). I had another question where (x to the power of 3/2) divided by 3/2 simply became: 3/2 multiplied by (x to the power of 3/2). In the case of the question above, I thought the same principles applied since I am dealing with fractions.

Any help to clarify will be much appreciated!

Thanks,

Nathaniel