Make a substitution to express the integrand as a rational function and then evaluate the integral. (Use C for the constant of integration.)

∫ 2e^2x/ (e^2x +16e^x +63). dx

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.