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Engineering Maths · Q57

Numerical Methods

Engineering and GATE · Engineering Maths · question 57

Q57

The integral _ x_1^ x_2 x^2 dx with x2 > x1 > 0 is evaluated analytically as well as numerically using a single application of the trapezoidal rule. If I is the exact value of the integral obtained analytically and J is the approximate value obtained using the trapezoidal rule, which of the following statements is correct about their relationship?

The integral  with x2 > x1 > 0 is evaluated analytically as well as numerically using a single application of the trapezoidal rule. If is the exact value of the integral obtained analytically and J is the approximate value obtained using the trapezoidal rule, which of the following statements is correct about their relationship?
A.
J >
Answer
B.
J <
C.
J =
D.
Insufficient data to determine the relationship

Answer: Option A

Solution

Answer: Option A
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