Integral help

[johnny101]

Hello,
I need some help with the integral below. We have been studying integral tables and the professor gave us a slightly different problem on the homework set, and I can't figure it out. It mirrors the example of dx/ x (sqrt) 10x-1 we had earlier in the homework(which I can solve), but it has a different setup so I'm lost.

The problem is:

dx / x (sqrt 5+4x).

Can anyone offer some helps/steps and break this down logically?

 

[stapel]

It mirrors the example of dx/ x (sqrt) 10x-1....

I'm familiar with "dy/dx", but not with just "dx" (or "dx/x"?). Also, what is the meaning of "(sqrt)"? I'm familiar with "sqrt(m)" (being "the square root of m"), but not with a free-floating square root like you're using. You say that you are able to do this "integral" (which has no integration symbol or other "integral" indicator in it); perhaps it would help if you showed what this means, as doing so might clear up your meaning in the rest of your post.

The problem is:

dx / x (sqrt 5+4x).

What you have posted above could mean the following:

. . . . .\(\displaystyle \dfrac{dx}{x}\left(\sqrt{5}\, +\, 4x\right)\)

However, I must confess that I have no idea how this might represent an "integral". Kindly please reply with clarification. Thank you!

 

[Deleted member 4993]

Hello,
I need some help with the integral below. We have been studying integral tables and the professor gave us a slightly different problem on the homework set, and I can't figure it out. It mirrors the example of dx/ x (sqrt) 10x-1 we had earlier in the homework(which I can solve), but it has a different setup so I'm lost.

The problem is:

dx / x (sqrt 5+4x).

Can anyone offer some helps/steps and break this down logically?

Is your problem:

\(\displaystyle \displaystyle{\int \dfrac{dx}{x(\sqrt{5 + 4x})}}\)

Please share your work with us ...

If you are stuck at the beginning tell us and we'll start with the definitions.

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