GATE (TF) Textile 2008 Question Paper Solution | GATE/2008/TF/30

Question 30 (Textile Engineering & Fibre Science)

The trapezoidal rule to evaluate integrals is expressed as
$\int_{a}^{b}f(x)d(x)=\frac{(b-a)}{2}[f(a)+f(b)]$
Using the above expression, evaluate the integral $\int_{0}^{1}\frac{dx}{1+2x}$ by subdividing the interval [0,1] in two equal parts. The value of this integral is

(A)	$\frac{7}{6}$
(B)	$\frac{2}{3}$
(C)	$\frac{7}{12}$
(D)	$\frac{1}{3}$

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