Please show your work so I can better understand the problems. thank you tutors so much :)

2. (10 at) Let A(x) = ffx/cosz t + 4dt, nd Mac) at x = (Land; 3. (10 pts) Evaluate the following denite integrals: (a)f_21(6 x2 + 3x + 2)dx (b) ffdt 4. (10 pts) Evaluate the following indenite integrals and conrm it by computing a derivative from a result. Discuss the difference in formulas if there is any. (a) \"2 x2 + 94" 2x5) dx (b)f(x2+2)(x32\\f27dx \f6. (10 Egg} Represent the area of a bounded region as a denite integral. 3 3 3 1 (A) I In (x) dx (B) I In (x)dx (C) j E dx (D) None of the above a 1 1 7. (10 gts! Find the area between the graphs off(x) = 4 x2,g(x) = x + 2, on the interval 0 Sx _