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4. For the integral of problem #3: (a) Use the Error Bound to find the bound for the error. (b) Compute the error made when using this estimate. 5. Use the Error Bound formula for the Trapezoidal Rule to determine N so that if ??¹? e?²? dx is approximated using the Trapezoidal Rule with N subintervals, the error is guaranteed to be less than 10??. 6. Estimate ??? ln x dx using the Trapezoidal Rule with n = 6 subintervals. 7. It is a fact, which you can take on faith, that the fourth derivative of f(x) = ?(1 - (cos² x)/4) is always less than 2 (in absolute value). Determine N so that if ???/² ?(1 - (cos² x)/4) dx is approximated using Simpson's Rule with N subintervals, the error will be less than 10??. Remember that Simpson's Rule requires an even number of subintervals.

          4. For the integral of problem #3:
(a) Use the Error Bound to find the bound for the error.
(b) Compute the error made when using this estimate.
5. Use the Error Bound formula for the Trapezoidal Rule to determine N so that if ??¹? e?²? dx is approximated using the Trapezoidal Rule with N subintervals, the error is guaranteed to be less than 10??.
6. Estimate ??? ln x dx using the Trapezoidal Rule with n = 6 subintervals.
7. It is a fact, which you can take on faith, that the fourth derivative of f(x) = ?(1 - (cos² x)/4) is always less than 2 (in absolute value). Determine N so that
if ???/² ?(1 - (cos² x)/4) dx is approximated using Simpson's Rule with N subintervals, the error will be less than 10??. Remember that Simpson's Rule requires an even number of subintervals.

4. For the integral of problem #3:
(a) Use the Error Bound to find the bound for the error.
(b) Compute the error made when using this estimate.
5. Use the Error Bound formula for the Trapezoidal Rule to determine N so that if ??¹? e?²? dx is approximated using the Trapezoidal Rule with N subintervals, the error is guaranteed to be less than 10??.
6. Estimate ??? ln x dx using the Trapezoidal Rule with n = 6 subintervals.
7. It is a fact, which you can take on faith, that the fourth derivative of f(x) = ?(1 - (cos² x)/4) is always less than 2 (in absolute value). Determine N so that
if ???/² ?(1 - (cos² x)/4) dx is approximated using Simpson's Rule with N subintervals, the error will be less than 10??. Remember that Simpson's Rule requires an even number of subintervals.

Added by David P.

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