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Math 108 Practice Mini Test #3


1. Evaluate ${\displaystyle \underset{0}{\overset{2}{\int }}(2x^2-5x+4)dx}$ (Solution)

2. Evaluate ${\displaystyle \underset{-4}{\overset{4}{\int }}x{(x^2+3)}^{3}dx}$ (Solution)

3. Evaluate${\displaystyle \underset{-1}{\overset{3}{\int }}x(2x+3)dx}$ (Solution)

4. Evaluate${\displaystyle \underset{0}{\overset{1}{\int }}{e}^{2x}dx}$ (Solution)

5. Evaluate ${\displaystyle \underset{-1}{\overset{e-2}{\int }}\frac{1}{x+2}dx}$ (Solution)

6. Find the area of the region bounded above by the graph of the function $f(x)=x^2+1$, below by the x-axis, on the left by the line x = 1 and on the right by the line x = 2. (Solution)

7. Find the area of the region bounded by the graph of the function $f(x)=x^2-4$, the x-axis, the lines x = 1 and x = 3. (Solution)

8. Find the area of the region bounded by the graph of the function $f(x)=x^2$ and the line y = x. (Solution)

9. Find the area of the region bounded by the the graphs of the functions $f(x)=x^2$ and $f(x)=-x^2+2$ (Solution)

10. Find the area of the region bounded by the graphs of the functions $f(x)=2x^2-3x+5$ and $f(x)=x^2+2x-1$ (Solution)

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Copyright © Dayal D. Purohit, Ph.D.(Mathematics)

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