Teaching UP B.Ed (Paper 1 & 2) Mock Test 2025 Mathematics Integral Calculus Indefinite Integrals

यदि \(\int {\frac{{{{(1 + \log x)}^2}}}{x}dx = F(x) + C} \) है, जहाँ C यदृच्छ स्थिरांक है, तो F(x) का मान क्या है?

1
\(\frac{{{{(1 + \log x)}^2}}}{2}\)
2
\(\frac{{{{(1 + \log x)}^2}}}{3}\)
3
\(\frac{{{{(1 + \log x)}^3}}}{3}\)
4
(1 + log x)3
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