Find the integral S f. t+1 2t + 4t+3 dt. Use integration by parts to evaluate the integral. [ 5x ln(5x) dx Evaluate the definite integral. 6 -5xe dx Evaluate the integral 1 4y e2y dy 10 If w' (t) is the rate of growth of a child in pounds per year, what does fw' (t) dt represent? A. The rate of growth of the child (in lbs/year) between the ages of 5 and 10. B. The rate of growth of the child (in lbs/year) during his/her first five years of life. C. The increase in the child's weight (in pounds) between the ages of 5 and 10. D. The increase in the child's weight (in pounds) during his/her first five years of life. A population of cattle is increasing at a rate of 100 + 50t per year, where t is measured in years. By how much does the population increase between the 8th and the 14th years? Total Increase =