Estimate S 11 cos(x2) dx using the Trapezoidal Rule and the Midpoint Rule, each with n = 4. (Round your answers to six decimal places.) (a) the Trapezoidal Rule (b) the Midpoint Rule From a graph of the integrand, decide whether your answers are underestimates or overestimates. OT4 is an underestimate O T4 is an overestimate OM4 is an underestimate OM4 is an overestimate What can you conclude about the true value of the integral? (Round your answers to six decimal places.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(₁₁ 11 cos(x2) dx using the Trapezoidal Rule and the Midpoint Rule, each with n = 4. (Round your answers to six
decimal places.)
Estimate
(a) the Trapezoidal Rule
(b) the Midpoint Rule
From a graph of the integrand, decide whether your answers are underestimates or overestimates.
OT4 is an underestimate
O T4 is an overestimate
O M4 is an underestimate
O M4 is an overestimate
What can you conclude about the true value of the integral? (Round your answers to six decimal places.)
<
f 11 cos(x²) dx <
Transcribed Image Text:(₁₁ 11 cos(x2) dx using the Trapezoidal Rule and the Midpoint Rule, each with n = 4. (Round your answers to six decimal places.) Estimate (a) the Trapezoidal Rule (b) the Midpoint Rule From a graph of the integrand, decide whether your answers are underestimates or overestimates. OT4 is an underestimate O T4 is an overestimate O M4 is an underestimate O M4 is an overestimate What can you conclude about the true value of the integral? (Round your answers to six decimal places.) < f 11 cos(x²) dx <
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