5. [-/1 Points] DETAILS MY NOTES Math 110 Course Resources - Integration by Parts & Improper Integrals Course Packet on integration by parts Find the area of the region under the graph of f(x) = In(x) from x = 5 to x = 12. Area = 6. [-/1 Points] DETAILS MY NOTES Math 110 Course Resources - Definite Integrals Course Packet on the average value of a function - Integration by Parts & Improper Integrals Course Packet on integration by parts Compute the average value of f(x) = (x + 5)e*/2 on the interval [4,12]. Average value = 7. [-/1 Points] DETAILS MY NOTES Math 110 Course Resources - Integration by Parts & Improper Integrals Course Packet on present & future value of income streams Suppose an investment is expected to generate income at the rate of R(t) = 1 + 3t thousands of dollars per year for the next 5 years. Find the future value of the income from this investment if the prevailing interest rate is 4% per year compounded continuously. Future value = thousands of dollars 8. [-/1 Points] DETAILS MY NOTES Math 110 Course Resources - Integration by Parts & Improper Integrals Course Packet on present & future value of income streams Suppose an investment is expected to generate income at the rate of R(t) = 5 + 2t thousands of dollars per year for the next 20 years. Find the present value of the income from this investment if the prevailing interest rate is 1% per year compounded continuously. Present value = thousands of dollars