Write the correct answers from option a, b, c or d.

Question 14 O Mark this question Find the total area bounded by the graphs of f(x) = - x'+8x -2 and g(x) = - x -2. 45 O 2 units? 45 O 4 units2 81 O units? 4 81 O 2 units-Question 15 O Mark this question Find the exact area between the graphs of f(x) = cosx and g(x) =2-cosx between x =0 and X = 21I. O 2 units O - 41 units O - 2 units- O 41 unitsQuestion 16 O Mark this question Write the definite integral (x2 -4) dx as a limit of a Riemann sum and evaluate. 5 S O lim 2 21- 35k + n + 0o k=1 n n O lim 2 21- 70k + n+ 0o k =1 n n Z 25- 35k 4942 O lim + n+ 0o K= n (:)= 13 O lim E 25 + 49k- 868 n+ 00 k =1 2 n n 3Question 17 O Mark this question 15 Estimate the value of dx by using n = 4 subintervals of equal width using Simpson's rule. 2 x - + 1 Round the final result to five decimal places. O =4.92163 O =2.67716 O =3.28109 O =2.71407G Ll estien 18 Q Mark this question Find the total area between the xexis and the curve x) = - 2J3 X 3 between X = - 5 and X = 4. 136 . O Tums2 O Emits?" 2 0 40mm? 0 % units2 Question 19 O Mark this question Find the following indefinite integral: Je 3x cos(e 3X ) dx O sin(ex ) + c O 3e *sin(e 3X ) + c O e *sin(e 3* ) + c O 3sin(e 3X ) + cG Ll estion 2 O 0 Mark this question Find the average.- Value of x) = 1 +1.3? over the interval [4.25]. O 99 393 O T 13'] O W 33 Question 21 O Mark this question 6 Given f(x)dx = - 15, find the following: -5 [ I f ( x) + 8] dx O 73 O 23 O -7 O 103Question 23 O Mark this question Find the following indefinite integral: 29csc2x - 15 4 dx X O 29 5 3 cotux + 3 +c X O 29cotx + 5 3 + c O - 29cotx + 5 3 + C X O 29 3 cotex - + c XQuestion 25 O Mark this question 26 Use summation formulas to evaluate the sum: 2 (4k- -19k + 7). K = 1 26 O (4k2-19k + 7)-31655 K =1 26 O E (4k2 - 19k + 7)= 18142 K = 1 26 O Z (4K2-19k+7) = 18317 k =1 26 O Z (4k2-19k+7)=31480 k = 1