Symbolic answers must be entered using notation similar to the examples given below. If you enter decimal numbers for questions that indicate that a symbolic answer is required, it will be marked as zero, regardless of whether the decimal number is correct or not. Integer numbers (positive, negative, and O) are allowed. Below are some examples. Example Math Expression How to Enter the Answer 2 -3/5 infinity 2\"8+l 2+exp(5) 5*pi/9 4/7-3*ln (2) sqrt(2) 5"(l/3) sqrt(5exp(3)+2*ln(7*pi)) fac(5) Answer Format Unless otherwise noted, enter answers as: - Whole Numbers - Exact Fractions (e.g., 2/3 or -5/4) or (only when necessary): - Decimals correct to six decimal places The use of decimal numbers is discouraged because decimal numbers are subject to rounding errors, which could cost you marks! Topics: Sections 7.2-7.4 in the textbook. Problem #1: Evaluate the following integral. (7/ 14 sin'(7x) dx Problem #1: Enter your answer symbolically, as in these examples Just Save Submit Problem #1 for Grading Problem #1 Attempt #1 Attempt # 2 Attempt # 3 Your Answer Your Mark: Problem #2: By making an appropriate substitution, which of the following integrals is equal to [tan ?(x) sec 10 (x) dx ? (A) 12 (1 +12)5 du (B) [12(1-236au (C J(12-Du du (D) S(12 -Du8 du (E) for(1+24 du (F) [(2 + Du du (G) Ju-125 du (F) [(2 + Du du Problem #2: Select V Just Save Submit Problem #2 for Grading Problem #2 Attempt # 1 Attempt #2 Attempt # 3 Your Answer Your Mark: Problem #3: Evaluate the following integral. (A) ; (,74, + , arctan()) + C (B) ; (,24, + ;, arctan(;)) + c (C) 18 (,24 + , arctan(;)) + C (D); (27, + ; arctan(;)) + c (F) 18 (,24 , + ; arctan() ) + c (F) 18 ( Vaz g + ; arctan( )) + C (G) 18 ( Viz +9 + , arctan(;)) + C (F) ; ( Vaz + , + 3 arctan(;)) + CPrOblem #4: By making an appropriate substitution, which of the following integrals is equal to dx I x3 (x2 7 9)5/2 ? 0053(6) 6056(6) J' coss() J- cos7(3) J- c055(0) I 0057(6) (A) jda (B) jde (C) d6 (D) d6 (E) 335m4(9)d0 (F) 37m4(6)d6 37 siu5(6) 38 Sin5(8) 37 sin5(6) 38 5mm?) cos7(9) J. 0056(6) (G) I 37 sin5(6) d6 (H) 37 sin4(9) d6 Problem #4: Select V l Just Save l l Submit Problem #4 for Grading Problem #4 Attempt #1 Attempt #2 Attempt #3 Your Answer: Your Mark: PrOblem # 5: Find the remainder after performing the following division. 8x2 7 41: x - 4 ' Just Save ' ' Submit Problem #5 for Grading Problem #5 Attempt #1 Attempt #2 Attempt #3 Your Answer: Your Mark: Problem #6: Consider the partial fraction decomposition of the following, 4 (x 7 2)(x 7 7)2 One of the terms in the partial fraction decomposition is of the form % Find the value of B. - |:| Enter W" answer symbc'lica'w' Problem #6' as in these examples l Just Save l l Submit Problem #6 for Grading Problem #6 Attempt #1 Attempt #2 Attempt #3 Your Answer: Your Mark