Hey there, young one! Let's talk about calculus, it's gonna be fun!
It's a way to solve problems with fancy math, and make your brain work with a great path!

Now, one technique we use is called integration by parts,
It helps us integrate products of functions in our hearts!

Here's how it goes, listen up close,
We pick two functions, and then we propose,
One to be "u", and one to be "dv",
And then we integrate, it's as easy as can be!

We differentiate "u" and integrate "dv",
Using a formula, it's really groovy!
The formula says that we should take,
"u" times "v", minus "v" times "du" for goodness sake!

Here's an example to help you see,
How it all works, step by step, with glee!
Let's integrate "x sin x" from 0 to 3,
That's our mission, can you agree?

First, we choose "u" to be "x",
And "dv" to be "sin x", that's the trick!
Next, we differentiate "u", it's easy,
"du/dx" is just 1, believe me, it's not sleazy!

Now, we integrate "dv", it's "v" we seek,
"v" is "cos x", it's really neat!
We plug them into the formula, and voila!
The integral is found, it's not a flaw!

The answer is "-x cos x + sin x + C",
Don't forget that constant, it's really key!
Now you know how to integrate by parts,
It's a tool you can use with all your smarts!

So, remember this rap, and don't forget,
Calculus can be fun, it's not a threat!
Just practice and learn, and soon you'll see,
Calculus is easy, it's a guarantee!
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