Teaching DSSSB TGT Mock Test 2025 Engineering Mathematics Numerical Methods Solutions of Integral Equations
Let \(I = \mathop \smallint \limits_{{x_0}}^{{x_1}} f\left( x \right)dx.\) Then which of the following is false?
1
\(I\sim\frac{h}{2}\left[ {{y_0} + {y_n} + \frac{1}{2}\left( {{y_1} + {y_2} + \ldots + {y_{n - 1}}} \right)} \right]\)
2
\(I\sim\frac{h}{3}\left[ {{y_0} + {y_n} + 4\left( {{y_1} + {y_3} + \ldots + {y_{n - 1}}} \right) + 2\left( {{y_2} + {y_4} + \ldots + {y_{n - 2}}} \right)} \right],\) n is even
3
\(I\sim h\left( {{y_0} + {y_1} + {y_2} + \ldots + {y_{n - 1}}} \right)\)
4
\(I\sim\frac{h}{{140}}\left( {41{y_0} + 216{y_1} + 27{y_2} + 272{y_3} + 27{y_4} + 216{y_5} + 41{y_6}} \right)\;\;\)