Questions from General Calculus

Q: Match the polar equations with the graphs labeled I–VI.

Match the polar equations with the graphs labeled I–VI. Give reasons for your choices. (Don’t use a graphing device.)

Q: Evaluate the integral. f 1/(x + a)

Evaluate the integral. f 1/(x + a) (x + b), dx

Q: Evaluate the integral. f43 x3 – 2x2 - 4/

Evaluate the integral. f43 x3 – 2x2 - 4/x3 – 2x2, dx

Q: Evaluate the integral. f10 x3 – 4x – 10/

Evaluate the integral. f10 x3 – 4x – 10/x2 – x – 6, dx

Q: Evaluate the integral. f11 4y2 – 7y -12/

Evaluate the integral. f11 4y2 – 7y -12/y (y + 2) (y – 3), dy

Q: Evaluate the integral. f x2 + 2x – 1/

Evaluate the integral. f x2 + 2x – 1/x3 – x, dx

Q: Evaluate the integral. f 1/(x + 5)

Evaluate the integral. f 1/(x + 5)2 (x – 1), dx

Q: Write out the form of the partial fraction decomposition of the function

Write out the form of the partial fraction decomposition of the function (as in Example 7). Do not determine the numerical values of the coefficients.

Q: Evaluate the integral. f x2 – 5x + 16/(

Evaluate the integral. f x2 – 5x + 16/(2x + 1) (x – 2)2 dx

Q: Evaluate the integral. f 5x2 + 3x – 2/

Evaluate the integral. f 5x2 + 3x – 2/x3 + 2x2, dx