Answer to Question #61962 in Math for musba

Question

7 Determine
∫x2+1(x+2)3

ln(x+2)+4x+2−52(x+3)2+c

ln(x+2)−4x+2−52(x+3)2+c

−ln(x+2)−4x+2−52(x+3)2+c

ln(x−2)+4x−2−52(x+3)2+c

8 Find the volume of a sphere generated by a semicircle
y=(√r2−x)
revolving around the x-axis

−π−r32

4πr32

πr34

4πr33

9 Evaluate
∫x2e3x

e3x3(x2−2x3+29)+c

−e3x3(x2+2x3−29)+c

e2x3(x3−x4+29)+c

ex3(x2+2x3−25)+c
10 Given f(x) =
(7x4−5x3)
, evaluate
df(x)dx

7x4−5x3

2x3−15x2

28x2−15x2

28x3−15x2