Closed form solution of Integration

[ahasib]

I need the closed form of the following equation. I have many equations of this form. So I need closed form solution.
I=integration x*sqrt(a*x+b)/(sqrt(x^2+c^2))^3 dx
This is the main equations. But I make this equation in different forms...
I=integration x*sqrt(a*x+b)*sqrt(x^2+c^2) dx
I=integration sqrt(x^2+c^2)/sqrt(ax+b) dx
I=integration sin(x)*sqrt(a*tan(x)+b)
Please kindly give me the closed form solution of any one or change it in different form and solve the exact solution of that form.

 

[Steven G]

I need the closed form of the following equation. I have many equations of this form. So I need closed form solution.
I=integration x*sqrt(a*x+b)/(sqrt(x^2+c^2))^3 dx
This is the main equations. But I make this equation in different forms...
I=integration x*sqrt(a*x+b)*sqrt(x^2+c^2) dx
I=integration sqrt(x^2+c^2)/sqrt(ax+b) dx
I=integration sin(x)*sqrt(a*tan(x)+b)
Please kindly give me the closed form solution of any one or change it in different form and solve the exact solution of that form.

I am sorry but i am missing something. Why would we do this for you? Have you tried to do this? Where is your work? Something.

 

[ahasib]

Yes I have tried. But I did not found the closed form. I am a student. It will be helpful for me if you solve this.

 

[stapel]

Yes I have tried.

Why will you not show your efforts?

It will be helpful for me if you solve this.

How? You already have loads of worked examples in your book, in your class notes, and from the various online resources you've studied. (You have studied, right?) Right now, you've plopped this question in the first category in the listing, not even bothering to find "Calculus" and post there....

....Okay, now I've moved your post to an appropriate category. Now let's see what you can contribute to the discussion.

 

[ahasib]

My major is not Mathematics. During my study I need closed form solution of this problem. So I search diffrent books of Integrals table and also different souces from Internet. But I didn't found.
Also I don't know details about this group. Just I found from this website in internet. So I thought may be this group can help me. Thats all.

 

[Deleted member 4993]

I need the closed form of the following equation. I have many equations of this form. So I need closed form solution.
I=integration x*sqrt(a*x+b)/(sqrt(x^2+c^2))^3 dx
This is the main equations. But I make this equation in different forms...
I=integration x*sqrt(a*x+b)*sqrt(x^2+c^2) dx
I=integration sqrt(x^2+c^2)/sqrt(ax+b) dx
I=integration sin(x)*sqrt(a*tan(x)+b)
Please kindly give me the closed form solution of any one or change it in different form and solve the exact solution of that form.

go to:

http://www.wolframalpha.com/input/?i=int+[+x*sqrt%28a*x%2Bb%29%2F%28sqrt%28x^2%2Bc^2%29%29^3%20+]dx

The answer comes up in terms of elliptic integrals - no closed form solution is available.

 

[ahasib]

Thank you very much. I also used the same website as you given me. Yes I found that there have no closed form solution.
Actually I need to solve numerically many equations like that. So I thought it will be better if there have any closed form solution.
Thank you.