I need help with these 7 calculus questions:

Question 1 (1 point) The table below gives the value of a function f and its derivative f' at several values of x. X 0 1 2 W 4 5 f (x) 6 5 -6 W f' (x) -2 -2 0 4 5 1 Use the table to compute SA f' (x) dx. 0 4 3 O -7 O7 05Question 2 (1 point) In(5) Evaluate -2 xe dx. O O2 O (evin(5) - 1) Oevin(5) - 1 Oo OQuestion 3 (1 point) x Let g(x) = / sin(t)etdt. Then g'(x) equals 2 O cos(x)ex + sin(x)ex O sin(x)ex sin(2)e2 0 None of these options are correct. 0 sin(t)e' O sin(x)ex I) View hint for Question 3 Question 4 (1 point) 7 If 806) = f 00507) (It, then g'(x) = O sin(x7) O cos(77) cos(x7) O sin(77) + sin(x7) [> View hint for Question 4 Question 5 (1 point) 4 x2 (Your answer should be a number) I) View hint for Question 5 Question 6 (1 point) COS X The derivative of 1 2 dt is sin x O sin x - cos2 x O 1 Ocos2 x - sin2 x O - cos x sin x - sin x cos x Ocos x sin x + sin x cos x View hint for Question 6Question 7 (1 point) The limit (x V12 + 4 dt lim x-0 X is equal to O2 Oo O -2