MFE 2 - Recitation 10
Do the exercises on a separate sheet of paper (or a tablet) and be clean, precise, and
explain everything, like you would for homework. Finish the exercises that you did not
have time to cover at home. Check the answer keys provided, and ask for more details on
Campuswire.
Exercise I
Evaluate the following integrals
1.
∫ x dx
x2 − 3x+ 2
2.
∫ x− 2
x2 + x4 dx
Exercise II
1.
∫ sin θ dθ
cos2 θ + cos θ − 2
2.
∫
x arctan x dx
Exercise III
1. Show
∫ x
(ax+ b)2 dx =
1
a2
(
ln |ax+ b|+ b
ax+ b
)
+ C.
2. Find the area of the region bounded by the curves y = x
2
x2 + 1 , x = 2, and the x-axis.
1