How large should
n
be to guarantee that the approximation to
∫
0
2.55
sin
(
x
2
)
d
x
\displaystyle {\int_{{0}}^{{2.55}}}{\sin{{\left({x}^{{2}}\right)}}}{\left.{d}{x}\right.}
∫
0
2.55
sin
(
x
2
)
d
x
using Simpson's rule is accurate to within 0.01? A graph of the fourth derivative of
sin
(
x
2
)
\displaystyle {\sin{{\left({x}^{{2}}\right)}}}
sin
(
x
2
)
follows.
0.25
0.5
0.75
1
1.25
1.5
1.75
2
2.25
2.5
70
140
-70
-140
-210
-280
-350
-420
-490
n
=
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Question 6
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Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity