Definite Integrals
Areas of regions
Volumes around an axis
MATThematics
100
0∫2 4x3+2x+4 dx
28
100
Find the area of the region enclosed by y = x2 - 2 and y = 2
10 2/3
100
Find the volume of the solid generated by revolving y = x2 , y=0, and x=0 around the x-axis.
32π/5
100

What is Matt's favorite color?

Blue

200
0∫3 x3+5x+1 dx
34.5
200
Find the area of the region enclosed by y = 7-2x2 and y = x2+4
4
200

Find the volume of the solid formed by rotating the region bounded by y=x, between x=0 and x=2 about the Y-AXIS

8π/3

200

What section is Matt the captain of in the Spirit of Stony Brook Marching Band

Drumline

300
0∫5 x4+2x3-x2+4x-6 dx
915.8333
300
Find the area of the region enclosed by y = 8 cos x and y=sec2 x , -π/3 ≤ x ≤ π/3
6√ (3)
300

Find the region of the solid generated by revolving the region enclosed by a triangle with corners at (1,0) , (2,1) , and (1,1) around the y-axis.

4π/3

300

Name at least one of Matt's roommates and what subject they teach

Jayden (History of EOP), Andrew (Chemistry), Diego (Chemistry), Aaron (SA)

400
1∫3 2x3+8x-9 dx
54
400
Find the area of the region enclosed by x = tan2y and x = -tan2y , -π/4≤y≤π/4
4 - π ≈ 0.858
400
Find the area of the surface found by revolving x = √(y) , 0≤y≤2 around the y-axis
≈13.614
400

What town is Matt from?

Commack, NY (Go Cougars!)

500
2∫3 4x4+3x2-4 dx
183.8
500
Find the area of the propeller-shaped region enclosed between the graphs of y = (2x)/(x2+1) and y = x3
ln 4 - (1/2) ≈ 0.886
500

find the volume of the solid generated by revolving the region bounded by y = √ (x), y=0, and x=4 around the y-axis.

128π/5

500

What is Matt's two favorite mathematical applications

Logarithms and Differentiation

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