# MA103_F15.cuix8140.Homework_Set_9.pdf - Yu Qing Cui...

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Yu Qing CuiMA103F15Assignment HomeworkSet9 due 12/01/2015 at 07:00pm EST1.(1 pt) Using the method of substitution,I=Z41x2(1+3x3)2dx=Zbaf(u)duwhereu=du=dxa=b=f(u) =.The value of the original integral isI=.Correct Answers:1 + 3 * x**39 * x**24193u**2 / 9(193**3 - 4**3) / (9 * 3)2.(1 pt) Evaluate the definite integral:Ze6edxxlnx=Correct Answers:2*(sqrt(6)-1)3.(1 pt) Evaluate the definite integral:Zπ/2π/6cos(z)sin5(z)dz=Correct Answers:(1-0.5ˆ(1-(5)))/(1-(5))4.(1 pt) Evaluate the definite integral:Zπ/30cos(x)sin(sin(x))dx=Correct Answers:0.3521406546917835.(1 pt) Evaluate the definite integral:Z10(e4x-4x)3(e4x-1)dx=Correct Answers:409655.2311344586.(1 pt) Using the method of substitution,I=Z10x25x+6dx=Zbaf(u)duwhereu=du=dxa=b=, andf(u) =.The value of the original integral isI=.Correct Answers:5*x+65611((u-6)/5)ˆ2*sqrt(u)/51.039480708681947.(1 pt) Evaluate the definite integral:Z20-20t(t-3)2dt=Correct Answers:-10*(4-ln(9))8.(1 pt) Letf(x) =|x|andg(x) =x2-2.