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Practice exam

Calculus foundations practice exam

A mixed, no-account practice exam covering prerequisites and integration-method recognition.

Calculus foundations practice exam00:001 / 22

Algebra

Factor the expression.

x2−5x+6x^2-5x+6
Vocab
Derivative
Math glossaryDerivative
ddx[f(x)]\frac d{dx}[f(x)]dydx\frac{dy}{dx}

The instantaneous rate of change of a function.

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Definite integral
Math glossaryDefinite integral
∫abf(x) dx\int_a^b f(x)\,dx

A signed accumulation over an interval.

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Integrand
Math glossaryIntegrand
∫f(x)⏟integrand dx\int \underbrace{f(x)}_{\text{integrand}}\,dx

The expression being integrated.

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Limit
Math glossaryLimit
lim⁡x→af(x)=L\lim_{x\to a}f(x)=L

The value a function approaches as its input approaches a target.

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Series
Math glossarySeries
∑n=1∞an\sum_{n=1}^\infty a_n

A sum of the terms of a sequence.

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Math glossary