Evaluate 2 x a^ 2 ^ 2 x+b^ 2 ^ 2 x d x .

Mathematics · JEE Main · NTA Exams — Integral Calculus

1. \(\frac{1}{a^{2}-b^{2}} \log \left|a^{2} \cos ^{2} x+b^{2} \sin ^{2} x\right|+c\)
2. \(\frac{1}{b^{2}-a^{2}} \log \left|a^{2} \cos ^{2} x+b^{2} \sin ^{2} x\right|+c\)
3. \(\frac{\cos 2 x}{a^{2}-b^{2}} \log \left|a^{2} \cos ^{2} x+b^{2} \sin ^{2} x\right|+c\)
4. None of these

Answer

(B) 1 b^ 2 -a^ 2 |a^ 2 ^ 2 x+b^ 2 ^ 2 x |+c

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