Area of parametric equations

Finding the Area Given the Range of the Parameter
Find the area under the curve of the parametric curve $x=t^2+1$
$y=t^3+t^2+4$ , where $1 \leq t \leq 3$ .
Assume that the curve traces perfectly from left to right for the range of the parameter $t$ .
Find the area enclosed of the given parametric curve $x=a \cos (\theta)$ , $y= b \sin (\theta)$ , where $0 \leq \theta \leq 2 \pi$ and $a, b$ are constants.
Find the area under the curve of the parametric equations $x=t-\frac{1}{t}$ , $y=t+\frac{1}{t}$ , where $\frac{1}{2} \leq t \leq 2$ .