Definite integrals: area and volume of revolution

Question 1 of 10

∫₀¹ x dx = 1/2.

Question 2 of 10

∫ₐᵇ f(x) dx =

Question 3 of 10

Find the area under the line y = 5 from x = 2 to x = 5.

Question 4 of 10

∫ from 0 to 1 of 3x dx = ___ (decimal)

Question 5 of 10

Evaluate ∫ from 1 to 3 of x dx.

Question 6 of 10

Reversing the limits changes the sign of a definite integral.

Question 7 of 10

The line y = 3 from x = 0 to x = 2 is rotated about the x-axis. Find the volume in terms of π.

Question 8 of 10

Evaluate ∫ from 0 to 1 of x dx.

Question 9 of 10

∫ from 0 to 1 of 4x dx = ___ (decimal)

Question 10 of 10

Find the area between the curves y = x² and y = 2x.