Evaluate the definite integral.
∫[ln(1) to ln(4)] (e^-2x / √(1-e^-4x)) dx
Add Work
Question 6
Evaluate the indefinite integral. Use C as the constant of integration.
∫ (-3 + 3 cos θ) / (θ - sin θ) dθ
Add Work
Question 7
Let r(t) be the rate at which water leaks out of a fish tank at time t, where r(t) is given in Liters/min and t is given in minutes. If t = 0 represents the time the fish tank cracked, what does ∫[10 to 50] r(t)dt represent?
(Be sure to provide units in your response)