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

1) Sulfur dioxide (SO₂), a major air pollutant and cause of acid rain, is being emitted into the atmosphere by a coal burning power plant. Let S(t) represent the total amount of SO₂(in grams) that has been released by the power plant, up to time t (in days). Suppose that the rate at which the plant is releasing SO₂ is:

S(t) =9+t+4sin(2t)

What would be a possible formula for S(t), assuming that S(0) = 0.

2) When a neuron (nerve cell) "fires", it creates an electrical current by the movement of charged ions through the cell. The axon of a neuron is a long, thin, tube-shaped part of the cell that conducts this electrical current away from the main body of the cell, and usually to other neurons, muscle cells, etc. Suppose that, at a position along the axon that's at a distance of x m from the cell body, the charge density (that is, the density of charged ions, per unit of length) is modeled by: C(x) = xex2(in coulombs per m)

What would the total amount of charge (coulombs) in the axon between x = 2 m and x = 9 m be?