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Mathematics · 2022 · 4 marks
CBSE 2022 · Region 4 · Set 2 · Q12
Evaluate: ∫_0^π x/(9 sin^2 x+16 cos^2 x) d x
Evaluate : \[\int_{0}^{\pi} \frac{x}{9 \sin ^{2} x+16 \cos ^{2} x} d x \]
Marking-scheme solution
Let, \(\displaystyle I=\int_{0}^{\pi} \frac{x}{9 \sin ^{2} x+16 \cos ^{2} x} d x\)
\(\displaystyle I=\int_{0}^{\pi} \frac{\pi-x}{9 \sin ^{2} x+16 \cos ^{2} x} d x\)
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CBSE Class 12 Mathematics past-paper question from the 2022 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.