Question

if oil leaks from a tank at a rate of r(t) litres per minutes at time t, what does what does integral r(t) dt from 0 to 120 represent?

Answer 1

total leakage at the end of 2 hours

Answer 2

Are you sure?

Answer 3

yes... that's right.

the integral would represent the total volume (in liters) that has leaked in the two hour period.

Answer 4

@GalaxyS integration basically sums up the function from lower limit to upper limit, and since limits are from 0 to 120 and r(t) is leage per minute so integration from 0 to 120 will sum up the lekage for 120 minutes thats 2 hours

Answer 5

thanks guys.