Approximate the following integral using simpson's rule. experiment with values of n to ensure that the error is less than 10 superscript negative 310−3. integral from 0 to pi startfraction 2 cosine x over 13 divided by 12 minus cosine x endfraction dx∫0π 2 cos 13/12−cos x dx equals=startfraction 16 over 5 endfraction pi 16 5π what is the smallest value of n from 44, 88, 1616, and 3232 that gives an error less than 10 superscript negative 310−3 using simpson's rule.