Estimate the minimum number of subintervals to approximate the value of Integral from negative 3 to 3 (2 x squared plus 9 )dx with an error of magnitude less than 4 times 10 Superscript negative 4 using a. the error estimate formula for the Trapezoidal Rule. b. the error estimate formula for Simpson's Rule.

The value of n for (a) n=425. (b) n=0.

Step-by-step explanation:

Given integration is,

(a) For Trapezoidal Rule : Composite error is,

Where, f''(x_m)=greatest value of |f''(x)|= |4|=4, a=-3, b=3. Therefore to find the minimum number of subinterval,

|

According to the question, we must choose n such that,

So we can take n=425.

(b) For Simpson 1/3 rule : Composite error is,

where,

In this problem , so that,

that is there exist no error. So n=0.

idk i would have to be there to under stand it

step-by-step explanation:

idk i would have to be there to under stand it