APP_INT_DAY_1_NOTES

# APP_INT_DAY_1_NOTES - Example 1 Find the area under the...

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Calculus Applications of Integration Page 1 Applications of Integration Day 1 Area Under Curves and Between Curves Example 1 Find the area under the curve y = x 2 from x = 1 to x = 5. (What does it mean to take a slice?) Example 2 Find the area under the curve y = 1 x from x = 1 to x = 5.

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Calculus Applications of Integration Page 2 Example 3 Find the area bounded by y = sec 2 x , x = 0, x = π 4 , y = 0 Example 4 Find the area bounded by y = e x , x = 0, x = ln4, y = 0
Calculus Applications of Integration Page 3 Example 5 Find the finite area bounded by the curve y = x 3 2 x 2 3 x and the x-axis. Example 6 Find the finite area bounded by the two graphs y = 2 x and x + y = 3 .

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Calculus Applications of Integration Page 4 Example 7 Find the area lying between y = 6 x x 2 and y = x 2 2 x . Example 8 Example 9 Determine the area of the region Determine the area of the enclosed by y = e x , y = e x , x = ln4 region bounded by y = e x , y = 1, y = 2, x = 3 Assignment V-1 Barrons Set 7 #1, 2, 6, 8, 9, 10, 11, 12, 14
Calculus Applications of Integration Page 1 Applications of Integration Day 1 Area Under Curves and Between Curves

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Unformatted text preview: Example 1 Find the area under the curve y = x 2 from x = 1 to x = 5. (What does it mean to take a slice?) Example 2 Find the area under the curve y = 1 x from x = 1 to x = 5. Calculus Applications of Integration Page 2 Example 3 Find the area bounded by y = sec 2 x , x = 0, x = 4 , y = Example 4 Find the area bounded by y = e x , x = 0, x = ln4, y = Calculus Applications of Integration Page 3 Example 5 Find the finite area bounded by the curve y = x 3 2 x 2 3 x and the x-axis. Example 6 Find the finite area bounded by the two graphs y = 2 x and x + y = 3 . Calculus Applications of Integration Page 4 Example 7 Find the area lying between y = 6 x x 2 and y = x 2 2 x . Example 8 Example 9 Determine the area of the region Determine the area of the enclosed by y = e x , y = e x , x = ln4 region bounded by y = e x , y = 1, y = 2, x = 3 Assignment V-1 Barrons Set 7 #1, 2, 6, 8, 9, 10, 11, 12, 14...
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## This note was uploaded on 02/04/2011 for the course MATH 116 taught by Professor John during the Spring '10 term at St. Michael.

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APP_INT_DAY_1_NOTES - Example 1 Find the area under the...

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