Questions from General Calculus

Q: Evaluate the integral or show that it is divergent. /

Evaluate the integral or show that it is divergent.

Q: Evaluate the integral or show that it is divergent. /

Evaluate the integral or show that it is divergent.

Q: Evaluate the integral or show that it is divergent. /

Evaluate the integral or show that it is divergent.

Q: Test the series for convergence or divergence. /

Test the series for convergence or divergence.

Q: Solve the differential equation. /

Solve the differential equation.

Q: Evaluate the integral or show that it is divergent. /

Evaluate the integral or show that it is divergent.

Q: Evaluate the indefinite integral. Illustrate and check that your answer is

Evaluate the indefinite integral. Illustrate and check that your answer is reasonable by graphing both the function and its antiderivative (take C = 0).

Q: Determine whether the sequence converges or diverges. If it converges,

Determine whether the sequence converges or diverges. If it converges, find the limit.

Q: Evaluate the indefinite integral. Illustrate and check that your answer is

Evaluate the indefinite integral. Illustrate and check that your answer is reasonable by graphing both the function and its antiderivative (take C = 0).

Q: Use a graph to find approximate x­ coordinates of the points

Use a graph to find approximate x­ coordinates of the points of intersection of the given curves. Then find (approximately) the area of the region bounded by the curves.