Hello tutors, can I get help with the following integration BY PART problems? Thank you.

1) A patient with an IV glucose drip is receiving glucose at a rate of t²e^t (in grams per hour, t in hours) What is the total amount of glucose that the patient gets from the IV between t = 1 and t = 3?

2) The density of electric charge along a wire is given by d(x) = x⁵(ln(x))² coulombs per cm What is the total amount of charge in the wire between x = 1 cm and x = 4 cm?