The Wild Mathemon

Path into the forest by Flickr

Jane and Derivee have just left town and are venturing off into the adventure of her dreams! Although it was not long before…

A WILD GRALINTE HAS APPEARED!!

This question is too overwhelming for Derivee!! Derivee takes a critical hit!

Derivee uses INTEGRATION BY PARTS!

Here, we prepare to use the general formula of integration by parts by organizing which parts to use for each respective function.

There is always a pattern within every math concept. In integration by parts, there is a general formula. This formula is:

Referring to the general form and the functions assigned in the previous step, it’s just a “plug-and-chug” formula from here and then integrate further.

ITS SUPER EFFECTIVE! Gralinte is stunned!

Derivee uses INTEGRATION BY PARTS [again!]!

In this integration, both terms are “equal” to each other, but it cannot be left that way, since it would all be equal to 0, when subtracted. Therefore, the integration by parts process should be repeated once more in order to properly integrate.

Values are once again assigned and process is repeated.

The process is then repeated a second time.

Before further integration, simplify.

Gralinte takes a critical hit! Gralinte is paralyzed!

Derivee SUBTRACTS FROM BOTH SIDES!!

Since this is simply a matter of anti-differentiation, we must remember to add and acknowledge the constant, since anti-differentiation gives a FAMILY of FUNCTIONS.

GRALINTE takes 13 damage.

Gralinte recovers!

Gralinte uses CRY!

It’s not very effective! Derivee takes 0 damage!

Derivee uses ALGEBRA!

IT’S SUPER EFFECTIVE!! Gralinte takes 30 damage.

Jane used a MATHECUBE!!

Rubix Cube by Flickr user Craig Axxie

Gralinte was caught!!