5. Calculus

Applications Of Integration — Quiz

Test your understanding of applications of integration with 5 practice questions.

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Practice Questions

Question 1

Which quantity is found by integrating a velocity function over a time interval?

Question 2

What is the area under a curve $y=f(x)$ and above the $x$-axis on the interval $[a,b]$ usually represented by?

Question 3

If a rate function $r(t)$ gives the rate of change of a quantity, what does $\int_0^5 r(t)\,dt$ represent?

Question 4

Which statement best describes the Fundamental Theorem of Calculus in a simple form?

Question 5

If $v(t)$ is velocity, what is the correct relationship between distance traveled and displacement on a time interval?