Questions from General Calculus

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: Verify by differentiation that the formula is correct. f cos3

Verify by differentiation that the formula is correct. f cos3 x dx = sin x - 1/3 sin3 x + C

Q: Evaluate the integral by making the given substitution. f dt

Evaluate the integral by making the given substitution. f dt/ (1 – 6t)4, u = 1 – 6t

Q: Verify by differentiation that the formula is correct. f x

Verify by differentiation that the formula is correct. f x cos x dx = x sin x + cos x + C

Q: Evaluate the definite integral. f10 cos (πt/2

Evaluate the definite integral. f10 cos (πt/2) dt

Q: Use the graphs of f, f', f" to estimate

Use the graphs of f, f', f" to estimate the -coordinates of the maximum and minimum points and inflection points of f.

Q: If a projectile is fired with an initial velocity v at an

If a projectile is fired with an initial velocity v at an angle of inclination θ from the horizontal, then its trajectory, neglecting air resistance, is the parabola (a). Suppose the pr...

Q: Evaluate the definite integral. f10 (3t – 1)

Evaluate the definite integral. f10 (3t – 1) dt

Q: Evaluate the definite integral. f10 3√1 + 7x

Evaluate the definite integral. f10 3√1 + 7x, dx