Question

A rocket burns large amounts of fuel, hence it's mass decreases significantly in flight. The velocity of a rocket t minuted after liftoff can be estimated by the formula
v(t) = -gt-kln((M-ct)/M)
where g is gravitational acceleration, k is the speed at which exhaust gas is ejected, c is the rate of fuel consumption, and M is the initial mass of the rocket (fuel included). Find the height h(t) of the rocket, as a function of time.

HELP!

Answer 1

integrate the given function !