Please answer the following. No need for a detailed explanation. Just write the correct answers. Thanks! URGENT!

3:55 PM@ INTEGRAL CALCULUS. 15. The given function is resolved into equivalen partial fractions as follows, find the value of the constant A and B. (2 Points) O A = 1; B = - O A = 4; B = -4 OA = - 4: B = None of the above 16. Question (2 Points) [ cos(5)dx O 3sin(5) + C O sin (5) + C O x cos (5) + C O - 5 sin(5) + c 17. Solve the antiderivative of the (2 Points) 2 Inx + Injx - 1| + C 2 Inlx - 11 - In () + c O ! - 2 Inx + 2 Inkx - 1| + C O None of the above 18. Which of the following is the antiderivative of (2 Points) f (x) = 2 sin.xcos.x ? Sing * + C O - 505 x + C O -7cos 2x + C O sin2 x + C O None of the above 19. The integral below can be evaluated by which identities (2 Points) I sin Ax dx 1-ous 2x 20. Evaluate the integral of (2 Points) dx O farctan 4 + C O garctan } + C O Farctan + C O None of the above 21. Which among the formula for u can be used to solved the given integral using trigonometric substitution? (2 Points) O u = acos 0 Ou = asin 0 Ou = atan 0 O u = asec 0 22. Determine the correct partial fraction for the given integral. (2 Points) (-1)(x2+2x+2) O None of the above 23. What is the antiderivative of the given integral in problem 22 (2 Points) (x-1)(x3 42x+2) O - Inkx - 1| + In/x2 + 2x + 2| + arctan(x + 1) O Inlx - 1| + In/x2 + 2x + 2| + arctan(x2 + 2 - Inkx - 1| + In/x2 + 2x + 2) - arctan(x + 1) O None of the above 24. The following are some basic integration formula except: 2 Points) Of du = u + C O S audu = a Sudu + C Of u = MAT + C O Judy = uv - S vdu 25. It is the process of finding a function in which derivative or differential is given. (2 Points) O Antidifferentiation Differentiation Substitution O None of the above