Exam 7: Principle of Integral Evaluation

Evaluate .

Evaluate .

Use inequality (11) to find an upper bound on the magnitude of the error for the approximate value of found by the trapezoidal approximation using 10 subintervals.

Answer true or false. = 2

Evaluate .

Evaluate .

Evaluate .

Answer true or false. = 0

Evaluate .

Evaluate .

Evaluate .

Use the trapezoid rule with n = 10 to approximate the integral.

Use integration by parts to evaluate .

Evaluate .

Use n = 10 to approximate by the midpoint rule.

Evaluate . Use a CAS or calculator with integration capability. It may be necessary to make a substitution that converts the integral into one that can be integrated.

Use Simpson's Rule with n = 10 to approximate the integral.

Use Simpson's Rule with n = 10 to approximate the integral.

Use n = 10 to approximate the integral by the midpoint rule.

Answer true or false. = .