Reference no: EM131000781
1. Find the indefinite integral.
a. ∫9/(5 - 4x) dx
b. ∫(x2 - 2x)/(x3 - 3x2)dx
c. ∫(x3 - 6x - 20)/(x + ) dx
2. Find the definite integral.
a. 0∫3 1/√(1+x)dx
b. 0∫√2 1/√(4-x2)dx
c. 2∫3(2x-3)/√(4x-x2) dx
3. Use the Disk Method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations y = √x, y = 0, and y = 3 about the line x = 3.
4. Use the Shell Method to find the volume of the solid generated by revolving the plane region y = √x, y = 0, and x = 4 about the line x = 6.
5. In a chemical reaction, a certain compound changes into another compound at a rate proportional to the unchanged amount. There is 40 grams of the original compound initially and 35 grams alter 1 hour. When will 75 percent of the compound be changed?
6. Find the arc length of the graph of the function y = 2x3/2 + 3 over the closed interval [0, 9].
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