Question 1: {1 point] Evaluate the Denite Integral 3 A 2321.11(234)d23 = ANSWER FORMAT: Give either the exact answer or an approximation to at ieast two decimal pieces. HINT .' Simpiifyi Question 2: {1 point] Calculate 5 f \" dz = + C 9+2524 whereC represents the constant of integration. So don't add an integration constant in your answer since we did it for you. Question 3: {1 point] Evaluate the following integral. [22:3 2232 21:c+3 m2 a: 12 ANSWER FORMAT: You do not need to enter the constant of integration because we have already done it for you. It might be useful to remember that|a| is written \"abs(a)". [13: +0 Question 4: (1 point) We want to calculate 2x+ dx . 1 3 + 7x_ (i) On note que x3+7x = x(2 +7) where + 7is a polynomial of degree two with no real roots. We can write 2x+1 A Ba + C + 23 + 7x 2 2 + 7 Give the exact values of A, B et C. A = B = and C = (ii) Finally, use this decomposition into partial fractions to calculate the integral. Give your answer with a precision of three decimal places. 3 2x+ 1 1 3+ 7x_ Question 5: (1 point) We propose to calculate -x+3 dx 13 +9x2 + 20x 1) We start by factoring the denominator of the rational fraction. We find 13+91 + 20x = x (xta) (2+b) witha