Calculus integration help?

[k3n]

Either someone direct me to different website with its own forum or please help me solve the following:

The equation to integrate is: sqrt(1 + 1/(4x) ) dx

This is what the answer is supposed to be according to Sage Math software. Not log is the same as ln, in regards to the software.
http://www.i.imgur.com/T4J2r8y.jpg

 

[Rudee]

First day of school and already trying to get other people to do your homework for you? Sad.

 

[k3n]

if someone can link me to a site with a similar problem/format, it'd be appreciated as well.

 

[T_Yamamoto]

wolfram alpha

 

[NutBucket]

Ti-89? 😛

 

[k3n]

wolfram alpha

Just like Sage Math, Wolfram, doesn't display the step by step solutionL

I tried the following using u-substitution:

set u = 1 + (x^-1 / 4)
du = -(x^-2)/4 dx -> 4 du = x^(-2) dx

Due to the x^(-2), variable, u-substitution isn't an option.

I've already given you guys what the answers supposed to be. I need to know how to obtain; e.g. integration by parts, or inverse trig, etc.
log == ln..
http://www.i.imgur.com/T4J2r8y.jpg

 

[Matthiasa]

You know how I know you didn't check on wolfram alpha...

Failing to spot something that is clearly displayed means you will likely fail out of whichever course of study you are currently in.

 

[exdeath]

Substitution + partial fractions

You need to rearrange the original problem to fit known solution methods. That alone is 99% of integral solving. In other words integration is 99% algebra and 1% plug and chug.

 

[k3n]

You know how I know you didn't check on wolfram alpha...

Failing to spot something that is clearly displayed means you will likely fail out of whichever course of study you are currently in.

You need a membership with them, & on top of that only 3 solutions are displayed per day.

 

[Matthiasa]

Yes and you asked only one question, it is 3 per day for non subscribers. Also the subscription price for a year is less than the cost of the book you are using that you won't touch again, except to maybe sell for pennies on the dollar, once you complete the class.

 

[k3n]

Yes and you asked only one question, it is 3 per day for non subscribers. Also the subscription price for a year is less than the cost of the book you are using that you won't touch again, except to maybe sell for pennies on the dollar, once you complete the class.

ROFL, think again smarty pants
http://www.amazon.com/The-Humongous-...kelly+calculus

 

[Matthiasa]

There is your problem, get yourself a book that teaches you how not just shows you.

 

[Dari]

For someone who is begging for help, you sure are aggressive and a smartass...

 

[k3n]

I was able to get a bit further

(1/2) * integral( (4 + x^-1)^(1/2) )

It produces the same results when the limits (3 & 0) are substituted in, for the following equation as well, sqrt(1 + 1/(4x) ) dx.

Come on!!! Am trying!
http://www.youtube.com/watch?v=djV11Xbc914

 

[TecHNooB]

i just looked at wolfram's solution. this must be a troll thread

 

[postmortemIA]

the real deal to learn this was before calculators and web sites.. then you'd ask for really hard one.

 

[shortylickens]

I am so glad to be out of calculus. I needed about 4 classes and I'm only a business major.
Of course now I'm in my third statistics class but whatever.

 

[Aaviel]

Sounds like a fairly intense business program....

I thought you were a lot older Shorty?

 

[Fenixgoon]

looks like a trig substitution to me.

 

[shortylickens]

Sounds like a fairly intense business program....

I thought you were a lot older Shorty?

Who ARE you?

 

[deanx0r]

Integration techniques are just a waste of time. You only need to recognize u-sub, and maybe partial fractions as your progress beyond calculus.


Also, if use a damn equation editor because this shit is tedious to read:
http://www.codecogs.com/latex/eqneditor.php

 

[DrPizza]

I'm wondering if an integration by parts would work? I'll give it a shot at school when I get there in a few hours.

 

[exdeath]

Try this one OP:

 

[k3n]

I just analyzed the "steps", on Wolfram, and they're horrible, especially for new individuals trying to actually understand the topic.

More help would be appreciated.

I got this far:
http://latex.codecogs.com/gif.latex?1/2 \int 4 + x^{-1}

 

[artikk]

You can try trig substitution maybe.