Let g(x) be an antiderivative of f (x). Then ln (1+(g(x)) 2 ) is an antiderivative for :
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
Let g(x) be an antiderivative of f (x). Then ln (1+(g(x))2) is an antiderivative for :
- \(\frac{2 f(x) \cdot g(x)}{1+(f(x))^{2}}\)
- \(\frac{2 \mathrm{f}(\mathrm{x}) \cdot \mathrm{g}(\mathrm{x})}{1+(\mathrm{g}(\mathrm{x}))^{2}}\)
- \(\frac{2 f(x)}{1+(f(x))^{2}}\)
- None
Answer
(B) 2 f ( x ) g ( x ) 1+( g ( x ))^ 2
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