Applications of integration

Question 1 of 10

Find the area under y = x² from x = 0 to x = 3.

Question 2 of 10

A particle has velocity v = 4 − 2t. Find the distance travelled in the first 3 s.

Question 3 of 10

A particle starts at the origin with velocity v = 2t m/s. How far does it travel in the first 3 s?

Question 4 of 10

If the velocity is v = 6t, the displacement from t = 0 to t = 2 is

Question 5 of 10

The area between y = x³ and the x-axis from x = −1 to x = 1 is

Question 6 of 10

The area under y = 2x from x = 1 to x = 4 is

Question 7 of 10

The area between y = 4 − x² and the x-axis is

Question 8 of 10

The area under y = x² from x = 0 to x = 3 is

Question 9 of 10

The volume generated when y = x from 0 to 3 is rotated about the x-axis is

Question 10 of 10

The volume formed when the region under y = f(x) from a to b is rotated about the x-axis is