# Multiplier for the whole integral

1. Dec 19, 2009

### Muppetmaster

1. The problem statement, all variables and given/known data

$\pi[\int \right[ \frac{\sqrt{x^2+1}}{x^4+sin(x)^2}\left]\;dx$

2. Relevant equations

As above

3. The attempt at a solution

Is there some sort of identity not sure even where to start this one?

Sorry that pi is obviously meant to be a multiplier for the whole integral if that isn't clear.

It's not actually outside per se.

You can easily put it before the dx in a relevant format relation to the equation.

It's just a constant outside the integral instead of inside so think of it as the +C if that helps.

Last edited: Dec 19, 2009
2. Dec 19, 2009

### rock.freak667

Re: Integral

Where did you get this integral from? By observation, it looks like an integral without an elementary anti-derivative.

3. Dec 19, 2009

### Muppetmaster

Re: Integral

In an advanced text book, I assume there is a solution but it might as you say be some sort of Taylor series type equation?

I admit it's not technically homework but I thought this would be the place to put it?

4. Dec 19, 2009

### n1person

Re: Integral

wolfram says "No!" :P

5. Dec 19, 2009

### diazona

Re: Integral

Given that you're adding a power of x to a trigonometric function of x in the denominator, I doubt it would be doable. You could of course do a series expansion around some point and integrate each term in the series individually, but I'm not sure if you'd be able to find a closed-form expression for all the series coefficients.

6. Dec 20, 2009

### HallsofIvy

Staff Emeritus
Re: Integral

What was the entire statement of the problem? Was it an indefinite integral as you show or a definite integral?