Question
का मान ज्ञात कीजिए।
Answer :
Word Count : 173
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हमारे पास समीकरण है: [ \int \frac{x^2 \cot^{-1}(x^3)}{1 + x^6} , dx ] सबसे पहले, ध्यान दें कि (1 + x^6 = 1 + (x^3)^2)। इस प्रकार, (x^3 = t) मान लें। तो (t = x^3 \implies dt = 3x^2 dx \implies x^2 dx = \frac{dt}{3}) साथ ही, (\cot^{-1}(x^3) = \cot^{-1}(t)) इसे मूल इंटीग्रल में प्रतिस्थापित करें:
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द्वारा परिभाषित
फलन
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