Could you explain the process of solving these three problems? Thanks!

3. What is the area of the region between the graphs of f(@) = - and g(@) = va from * = 1 tox = 4? O 3 + In(7) 14 - In(4) O In (6) 2 In(3) Utilize theorems of definite integrals. Points 0 /12. If F(a;] = f1""'2(3t3 413+ 6)dt, then Fix/i] equals what? O zsx/E 22 O E O 44 Utilize the first and second fundamental theorems of calculus. Points 0 H 17. If g(a) = [_cos() (t2 - 1 ) dt, what does G'(a) equal? O cos' (x) - sec(x) O - cos (a) + csc(x) O cos' (x) sin(x) - tan() O sin (a) - csc(a) Utilize the first and second fundamental theorems of calculus. Points 0 /1