###### Question 38 (Textile Engineering & Fibre Science)

Let be a continuous function such that and . The value of the integral , accurate up to three decimal places, obtained by Trapezoidal rule with is _**_0.335_**_.

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We shall prepare row column on the basis of date given-

f(1) | f(2) | f(3) | f(4) | |

x | 1 | 2 | 3 | 4 |

y | 0.32 | 0.125 | 0.025 | 0.05 |

Yo | Y1 | Y2 | Y3 |

By Trapezoidal rule-

f(x)=

h=(4-1)/3 given n=3

h=1

f(x)=

f(x)=

f(x)=

f(x)=

f(x)=0.335 (Ans)