# Calculus Functions to Evaluate an Integral

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1. Evaluate the integral: .

2. Evaluate the integral: .

3. Evaluate the integral: .

4. Evaluate the integral: .

5. Find the particular solution of the equation that satisfies the condition f(1) = 12.

6. Use the properties of sigma notation and the summation formulas to evaluate the given sum:

7. Write the definite integral for the area of the region bounded by the graphs of and y = 0.

8. Evaluate the integral: .

9. Evaluate the integral: .

10. Calculate the area of the region bounded by the x-axis and the function .

11. Evaluate the integral: .

12. Evaluate the integral: .

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A calculus functions to evaluate an integral is given. The area of the regions bounded by the x-axis and the function is determined.

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