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· **Challenge System:** A system in which you challenge monsters one by one.

· **Multiplayer:** The first multiplayer fantasy role playing game being released in Japan.

· **Dynamic Battle:** A battle system in which you fight not only the monsters on the screen, but enemies surrounding you as well.

· **Icons:** A system in which you refer to your items and monsters in an easy-to-understand manner with icons that appear on the screen.

· **Eternal Happiness:** In addition to powering up your character, you can also choose to invest your magic into various items to consume them.

· **Complex Dungeon:** A seamless dungeon that lets you enjoy a variety of scenarios.

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Q:

Integral : $\int_0^1\frac{(1-x)^{n-1}}{(n-1)!}dx$

In the following expression :
$$\int_0^1\frac{(1-x)^{n-1}}{(n-1)!}dx$$
This can be easily integrated and the result is : $$\frac{(-1)^n}{n!}$$
How can the following be done?
$$\int_0^1\frac{(1-x)^{n-1}}{(n-1)!}dx$$
Thank you for your help.

A:

\begin{align}
\int_0^1 \frac{(1-x)^{n-1}}{(n-1)!} \; \mathrm{d}x
&= \int_0^1 \sum_{k=0}^{n-1} \binom{n-1}{k} (-1)^k x^{n-1-k} \; \mathrm{d}x \\
&= \sum_{k=0}^{n-1} \binom{n-1}{k} (-1)^k \int_0^1 x^{n-1-k} \;

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Production of Hollywood.
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In our RPG Maker game, we are making an RPG of a world where we take the game management and story line aspects from Majesty. By keeping an emotional aspect of the in-game play element, we aim to give players the experience of the fantasy world.
We found the mobile audience interested in listening to our inner thoughts and hopes as developers, and gave them a unique RPGMaker game in this time.

Stages 1 to 3, features:
– Character customization

– Artificial Intelligence of Enemies

– Special effects

– Various Interface-controlled events

– Guild system that allows each player to spend money and request quests from other players in the same area.

Game Development Human Finger Games, Inc.
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