GATE (TF) Textile 2017 Question Paper Solution | GATE/2017/TF/27

Question 27 (Textile Engineering & Fibre Science)

Using Simpson’s 1/3 rule, the value of the integral \frac{1}{\pi}\int_{0}^{\pi}(1+\sqrt{sin(x)}\;)dx. accurate to two decimal places is __1.65 to 1.76__.

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Given , f(x)=\frac{1}{\pi}\int_{0}^{\pi}(1+\sqrt{sin(x)}\;)dx
Let devide the whole interval in to 4 equal parts.
i.e., h=\frac{\pi-0}{4}


By 1/3 rd Simpson’s rule-
=1.73 (Ans)

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