8. Applications of Integration

Using Accumulation Functions And Definite Integrals In Applied Contexts — Quiz

Test your understanding of using accumulation functions and definite integrals in applied contexts with 5 practice questions.

Practice Questions

Question 1

A tank is filled at a constant rate of $3$ liters per minute for $4$ minutes. How much water is added?

Question 2

What is the average value of $f(x)=x^2$ on $[0,2]$?

Question 3

A particle has velocity $v(t)=2t$ meters per second and position $s(0)=5$ meters. What is the position at $t=3$ seconds?

Question 4

If $F(x)=\int_1^x (t^2+1)\,dt$, what is $F'(x)$?

Question 5

The rate of change of a quantity is $R(t)=10-2t$ units per hour. What is the net change from $t=0$ to $t=3$?