TS EAMCET · Maths · Indefinite Integration
\(\int \frac{d x}{9 \cos ^2 2 x+16 \sin ^2 2 x}=\)
- A \(\frac{1}{25} \tan ^{-1}\left(\frac{3}{4} \sec ^2 2 x\right)+c\)
- B \(\frac{1}{25} \tan ^{-1}\left(\frac{4}{3} \sec ^2 2 x\right)+c\)
- C \(\frac{1}{24} \tan ^{-1}\left(\frac{3}{4} \tan 2 x\right)+c\)
- D \(\frac{1}{24} \tan ^{-1}\left(\frac{4}{3} \tan 2 x\right)+c\)
Answer & Solution
Correct Answer
(D) \(\frac{1}{24} \tan ^{-1}\left(\frac{4}{3} \tan 2 x\right)+c\)
Step-by-step Solution
Detailed explanation
\(I=\int \frac{1 d x}{9 \cos ^2 2 x+16 \sin ^2 2 x}\)…
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