Word Count : 372

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सबसे पहले हमें दी गई अभिन्नता ( \int_0^1 \frac{1}{1+x^2} , dx ) का अनुमान समलंबी (Trapezoidal) नियम से करना है, फिर रॉम्बर्ग विधि (Romberg method) का उपयोग करके ( \pi ) का सर्वोत्तम मान ज्ञात करेंगे। दी गई जानकारी: [ h_1 = 0.5, \quad h_2 = 0.25 ] चरण 1: समलंबी नियम (Trapezoidal Rule) समलंबी नियम का सूत्र: [ T(h) = \frac{h}{2} \big[f(x_0) + 2 \sum_{i=1}^{n-1} f(x_i) + f(x_n)\big] ] जहाँ ( n = _________ _____ _____ ________ ______ ____ ______ ______.
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