← Back to Calculus
Applied integrals quiz
Five questions on Applied integrals. Answer all 5 to see your score.
Question 1 of 5
Find the area of the region enclosed between the curves y = x^2 and y = 2x.
Question 2 of 5
The region under y = \sqrt{x} from x = 0 to x = 4 is revolved about the x-axis. Find the volume of the resulting solid using the disk method.
Question 3 of 5
A spring with spring constant k = 200 N/m obeys Hooke's law. How much work is required to stretch it 0.4 m from its natural length?
Question 4 of 5
What is the average value of f(x) = x^2 on the interval [0, 3]?
Question 5 of 5
Find the arc length of the curve y = \frac{2}{3}x^{3/2} from x = 0 to x = 3.