Questions from General Calculus

Q: Evaluate the integral. f x/√1 – x4,

Evaluate the integral. f x/√1 – x4, dx

Q: (a). Find the Riemann sum for f (x)

(a). Find the Riemann sum for f (x) = sin x, 0 < x < 3π/2, with six terms, taking the sample points to be right endpoints. (Give your answer correct to six decimal places.) Explain what the Riemann su...

Q: Evaluate the integral. f e3√x dx

Evaluate the integral. f e3√x dx

Q: Evaluate the integral. f tan-1 x dx

Evaluate the integral. f tan-1 x dx

Q: Set up, but do not evaluate, an integral for the

Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

Q: Evaluate the integral. f sec θ tan θ/1

Evaluate the integral. f sec θ tan θ/1 + sec θ, dθ

Q: Evaluate the integral. f10 ex/1 + e2x,

Evaluate the integral. f10 ex/1 + e2x, dx

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: 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 give a rough estimate of the area of

Use a graph to give a rough estimate of the area of the region that lies under the curve y = x√x, 0 < x < 4. Then find the exact area.