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(c) The following two functions are defined in polar coordinates for

`0<=\theta <=\pi `

```
r_(1)(\theta )=\theta +\pi
r_(2)(\theta )=2\theta
```

Sketch both functions, noting where they intersect the

`x`

-axis. (d) Calculate the area of the shape bounded by the functions

`r_(1)`

and

`r_(2)`

, and the

`x`

-axis.