Questions from General Calculus

Q: (a). Graph several members of the family of functions f

(a). Graph several members of the family of functions f (x) = (2cx – x2)/c3 for c > 0 and look at the regions enclosed by these curves and the -axis. Make a conjecture about how the areas of these reg...

Q: First make a substitution and then use integration by parts to evaluate

First make a substitution and then use integration by parts to evaluate the integral.

Q: First make a substitution and then use integration by parts to evaluate

First make a substitution and then use integration by parts to evaluate the integral.

Q: First make a substitution and then use integration by parts to evaluate

First make a substitution and then use integration by parts to evaluate the integral.

Q: First make a substitution and then use integration by parts to evaluate

First make a substitution and then use integration by parts to evaluate the integral.

Q: Evaluate the integral. f x cox x dx

Evaluate the integral. f x cox x dx

Q: First make a substitution and then use integration by parts to evaluate

First make a substitution and then use integration by parts to evaluate the integral.

Q: (a). Find the number such that the line x =

(a). Find the number such that the line x = a bisects the area under the curve y = 1/x2, 1 < x < 4. (b). Find the number such that the line y = b bisects the area in part (a).

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

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

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