Calculus 2 Exam # 2 Review

Question 1

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Integral of (w+12/(x-4)^8)dw

Answer 1

w^2/2 - 12/7(w-4)^7 + C

Question 2

x/sqrt(x^2+20x+110)

Answer 2

sqrt(x^2+20x+110)-10ln|x+10sqrt(x^2+20x+110)|+C

Question 3

e^10xsqrt(1-e^20x)dx

Answer 3

1/20 arcsin(e^10x)+1/20e^10xsqrt(1-e^20x)+C

Question 4

sin^3(2x)cos^4(2x)dx

Answer 4

-1/10 (cos(2x))^5 + 1/14 (cos(2x))^7 + C

Question 5

Integral of s^2/(s+6)ds

Answer 5

36ln|s+6|+s^2/2 -6s+C

Question 6

Integral of sec^3(8x)tan(8x)dx

Answer 6

1/24 (sec(8x))^3+C

Question 7

Integral of x^9lnxdx

Answer 7

x^10/100 [10lnx-1]+C

Question 8

Integral of e^6xcosxdx

Answer 8

I don’t know yet

Question 9

Integral of (3x^3-28x^2+50x+68)/(x^2-10x+24)

Answer 9

3/2 x^2+2x+4ln|x-6|-6ln|x-4|+C

Question 10

Find the integral of (11x^2+7x+392)/(x^3+49x)

Answer 10

8ln|x|+3/2ln|x^2+49|+arctan(x/7)+C

Question 11

Find the integral of 10/(x-3)^2 from 2 to 4

Answer 11

Diverges

Question 12

Find the integral of xe^-x/6 from 0 to infinity

Answer 12

36