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Practice Test 4 Business Calculus
integral xn dx = (xn+1)/(n+1)+C integral dx = x+C; integral ex dx = ex+C; integral 1/x dx = integral x-1 dx = ln|x|+C
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Evaluate.
1) integral (7x2+1) d x; A) 14x+C B) x+C textcircled C 7/3x3+x+C D) 7/3x3+C; = 7 (x2+1)/(2+1)+ x+C = 7(x3)/3+x+C; [2ex] 2) integral 20 d x; A) 10x2 textcircled B 20x+C C) 0 D) 20+C; = 20x+C
1) C
- B
- D
3) integral 7x-3 d x 3) D; A) x+7C B) -21x+C C) 7x3 textcircled D -7/(2x2)+C; = 7 (x-3+1)/(-3+1)+C = 7(x-2)/(-2)+C = -7/2·1/(x2)+C
4) integral 12x3root(x) d x 4) A; [4pt] textcircled A 8/3x9/2+C B) 11/5x9/2+C C) 24/7x9/2+C D) 2/9x9/2+C; [6pt] = 12 integral x3· x1/2 d x = 12 integral x3+1/2 d x =; [4pt] = 12 integral x7/2 d x = 12 (xfrac 7 2 +1)/(frac 7 2 +1)+C; [4pt] = frac 12xfrac 9 2 frac 9 2 +C = overset 4 cancel 12 ·frac 2 cancel 9 3 xfrac 9 2+C = frac 8 3 xfrac 9 2+C