1. Evaluate the sum:

Find the area of the region bounded by:

2. y = x³ - x² , y = 0, and between x = 0 and x = 2 .

3. x = y² - y - 2 and x + y = 7

Graph:

4. y = log₃ x

5. y = (1/2)²

6. Find the average value of
g(t) = e^-3t over the interval [1,5].

Solve for x:

7. 3 ^{x + 2} = 5^2x

8. Log₂ (x - 1) + log₂ (x + 1) = 3

Differentiate

9. y = e^p

10. y = (e^{- x/3 )} / x²

11. y = x e^{cos 3x}

12. 3^{2x +1}

13. y = ln e^{3 - x}

14.

15. y = ln(ln(x² + x))

16.

17. y = (tan x)^{sin x}

Integrate

18. Ý e^x/5 dx

19. Ý e ^{- 3x} dx

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