Teaching DSSSB TGT Mock Test 2025 Engineering Mathematics Numerical Methods Solutions of Integral Equations
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?1
Simpson’s rule as well as the rectangular rule of estimation will give NON-zero error.
2
Simpson’s rule, rectangular rule as well as the trapezoidal rule of estimation will give NON-zero error.
3
Only the rectangular rule of estimation will give zero error.
4
Only Simpson’s rule of estimation will give zero error.