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Attach the questions below
(1) Evaluate the integral
(2)Ā Write out the form of the Partial fraction decomposition of the function, do not determine the numerical value of the coefficient.
(3) Write out the form of the Partial fraction decomposition of the function, do not determine the numerical value of the coefficient.
(4)Ā Evaluate the integral (Remember to use absolute values where appropriate). Use C for the constant of integration.
(5) Evaluate the integral
(6) Evaluate the integral (Use C for a constant of integration).
(7) Evaluate the integral
(8)Ā Make a substitution to express the integrand as a rational function and then evaluate the integral (use C as the constant of integration).
(9)Ā Make a substitution to express the integrand as a rational function and then evaluate the integral (use C as the constant of integration)
(10)Ā Find the volume of the resulting solid if the region under the curve from to is rotated about the x-axis.
(11)Ā Find the volume of the resulting solid if the region under the curveĀ Ā fromĀ Ā toĀ is rotated about the y-axis.
Express the integral as a limit of Riemann sums. Do not evaluate the limit.
