Questions from General Calculus

Q: Evaluate the definite integral. fπ/4-π/

Evaluate the definite integral. fπ/4-π/4 (x3 + x4 tan x) dx

Q: Use (a) the Midpoint Rule and (b) Simpson’s

Use (a) the Midpoint Rule and (b) Simpson’s Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) Compare your results to...

Q: Evaluate the definite integral. fπ/2-π/

Evaluate the definite integral. fπ/2-π/2 x2 sin x/1 + x6, dx

Q: Evaluate the definite integral. f21 x √x – 1

Evaluate the definite integral. f21 x √x – 1, dx

Q: Suppose that a region R has area A and lies above the

Suppose that a region R has area A and lies above the x-axis. When R is rotated about the x-axis, it sweeps out a solid with volume V1. When R is rotated about the line y = -k (where k is a positive n...

Q: Sketch the set of all points (x, y) such

Sketch the set of all points (x, y) such that |x + y| < ex.

Q: Evaluate the definite integral. f10 ez + 1/ez

Evaluate the definite integral. f10 ez + 1/ez – 1, dz

Q: Evaluate the definite integral. f1/20 sin-1

Evaluate the definite integral. f1/20 sin-1 x/√1 – x2, dx

Q: Evaluate the definite integral. fπ/20 sin (2πt

Evaluate the definite integral. fπ/20 sin (2πt/T – a) dt

Q: Evaluate the definite integral. f10 dx/ (1 +

Evaluate the definite integral. f10 dx/ (1 + √x)4