Calculus Examples

$x = t$ , $y = t^{2}$

Step 1

Set up the parametric equation for $x (t)$ to solve the equation for $t$ .

$x = t$

Step 2

Rewrite the equation as $t = x$ .

$t = x$

Step 3

Replace $t$ in the equation for $y$ to get the equation in terms of $x$ .

$y = {(x)}^{2}$

Step 4

Remove parentheses.

$y = x^{2}$

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$