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Integrals: Regions and Curves

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Regions and Curves. See attached file for full problem description.

Sample problems

1. ∫(e-2x)dx

2. Find area under curve, f(x)=(1/x²) on [1,2]

3. ∫18 5x(2/3)dx

4. ∫19 (√x+(1/√x))dx

5. ∫0√3 x(x²+1)(3/2)¬dx

6. ∫¬35 (3/(x-2))dx

7. Find the area of the region bounded by f(x)=ex, g(x)=(1/2x), a=1,b=2

8. ∫x(x+3)(-1/2)dx

9. ∫04 3xexdx

10. Find area under curve of f(x)=(1/x(1/2)), x≥1

11. ∫1∞ (4/x²)dx

12. ∫cos4x dx

13. ∫sinx cos¬¬¬³x dx

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Solution Summary

This is a series of integration problems, including definite and indefinite integrals and finding area under a curve.

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