Question
Download Solution PDF\(\rm \int \frac{dx}{x^{2}+4}\) का मूल्यांकन करें।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
- \(\rm \int \frac{dx}{x^{2}+a^{2}}=\frac{1}{a}tan^{-1}\frac{x}{a}+C\)
गणना:
दिया गया: \(\rm \int \frac{dx}{x^{2}+4}\)
इस सूत्र का उपयोग करते हुए, \(\rm \int \frac{dx}{x^{2}+a^{2}}=\frac{1}{a}tan^{-1}\frac{x}{a}+C\)
\(\rm \Rightarrow\int \frac{dx}{x^{2}+4}=\int \frac{dx}{x^{2}+2^{2}}= \frac{1}{2}tan^{-1}\frac{x}{2}+C\)
इसलिए, सही उत्तर विकल्प 2 है ।
Last updated on Jun 20, 2025
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