Last updated on Oct 23, 2026

Parametric Integration (AQA A-Level Mathematics): Quizzes

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Parametric Integration

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What is the general formula for area under a parametric curve?

$\int y \, dx$

For $x = 1 + t$ , what is $\frac{dx}{dt}$ ?

$1$

If $x = 1 + t$ and $\frac{dx}{dt} = 1$ , what does $dx$ equal?

$dt$

For $x = 1 + t$ , when $x = 2$ , what is the value of $t$ ?

$1$

For $x = 1 + t$ , when $x = 6$ , what is the value of $t$ ?

$5$

What is $\int_{1}^{5} (1 - \frac{1}{t}) dt$ equal to?

$4 - \ln 5$

For $y = \sin(t)$ , at what values of $t$ does $y = 0$ ?

$t = 0$ and $t = \pi$

For $x = 3t$ , what is $\frac{dx}{dt}$ ?

$3$

For $x = 3t$ , $y = \sin(t)$ , what integral finds area from $t = 0$ to $t = \pi$ ?

$\int_{0}^{\pi} 3\sin(t) dt$

What is the value of $\int_{0}^{\pi} 3\sin(t) dt$ ?

$6$

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