###### Question 30 (Textile Engineering & Fibre Science)

is evaluated both by Trapezoidal rule and Simpson’s rule by taking two subintervals. The difference between the results, accurate to the second decimal place, is ……

**[Show Answer]**

Write Here

Here, h=2-0/2=1

y(0) | y(1) | y(2) | |

x | 0 | 1 | 2 |

y | 1 | 2.718 | 7.389 |

Now, By Trapezoidal rule-

f(x)=

f(x)=

f(x)=6.912

Now, Simpson’s –

{f}'(x)=

{f}'(x)=

{f}'(x)=6.4203

Difference between the values=f(x)-{f}'(x)

=6.912-6.4203

=0.49 (Ans)