Welcome back to the Intro. to Programming Workshops! This week's workshop will focus on **problem solving**!

The PokeVentures game code now has a new home on GitHub, you can find the new home in the resources section below!

The latest edition now includes *multiplayer* and *in-game chat!*

## Resources

**PokeVentures Source Code - http://github.com/Latiosu/pokeventures****Solution to Integral question - Dropbox link**- If you have any queries or comments, feel free to send me an email at:
**[email protected]**

## Summary

#### Question

Write a program that calculates the integral (area under graph) for **f(x)=x^3** that receives input for the **interval (a, b)** and number of **sub-intervals (n)**.

The program should also ask for the method for calculating the integral out of the following options:

Additionally, note the following:

- You must implement both methods in your program
- You may assume that all input is valid
**a**and**b**are of type**double****n**is of type**int**

#### Examples

Scenario One:

```
Please enter the interval (a, b) and sub-intervals (n):
3.0 5.0 12
Type 'r' for Rectangle method or 't' for Trapezoidal method:
t
The answer is 136.1111
```

Scenario Two:

```
Please enter the interval (a, b) and sub-intervals (n):
0 144 1
Type 'r' for Rectangle method or 't' for Trapezoidal method:
r
The answer is 0
```

#### Solutions

Located under the Resources heading!