The integral $\mathop \smallint \limits_0^1 (5{x^3} + 4{x^2} + 3x + 2)dx$is estimated numerically using three alternative methods namely the rectangular, trapezoidal, and Simpson’s rules with a common step size. In this context, which one of the following statements is TRUE?

Question

The integral $\mathop \smallint \limits_0^1 (5{x^3} + 4{x^2} + 3x + 2)dx$is estimated numerically using three alternative methods namely the rectangular, trapezoidal, and Simpson’s rules with a common step size. In this context, which one of the following statements is TRUE?

TuteeHUB · Accepted Answer

NA

TuteeHUB · Answer

Simpson’s rule as well as the rectangular rule of estimation will give NON-zero error.

TuteeHUB · Answer

Simpson’s rule, rectangular rule as well as the trapezoidal rule of estimation will give NON-zero error.

TuteeHUB · Answer

Only the rectangular rule of estimation will give zero error.

TuteeHUB · Answer

Only Simpson’s rule of estimation will give zero error.

1.	The integral \(\mathop \smallint \limits_0^1 (5{x^3} + 4{x^2} + 3x + 2)dx\)is estimated numerically using three alternative methods namely the rectangular, trapezoidal, and Simpson’s rules with a common step size. In this context, which one of the following statements is TRUE?
A.	Simpson’s rule as well as the rectangular rule of estimation will give NON-zero error.
B.	Simpson’s rule, rectangular rule as well as the trapezoidal rule of estimation will give NON-zero error.
C.	Only the rectangular rule of estimation will give zero error.
D.	Only Simpson’s rule of estimation will give zero error.
Answer» E.

The integral \(\mathop \smallint \limits_0^1 (5{x^3} + 4{x^2} + 3x + 2)dx\)is estimated numerically using three alternative methods namely the rectangular, trapezoidal, and Simpson’s rules with a common step size. In this context, which one of the following statements is TRUE?

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