Mathematics · Integrals
Evaluate the given expression: ∫ √(81 - (log x) 2 ) x dx
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1x 2 √(81 - (log x) 2 ) + 81 2 sin -1 ( x 9 ) + C
- 2x 2 √(81 - x 2 ) + 81 2 sin -1 ( x 9 ) + C
- 3log x 2 √(81 - (log x) 2 ) + 81 2 sin -1 ( log x 9 ) + C✓
- 4log x 2 √(81 - x 2 ) + 9 2 sin -1 ( log x 9 ) + C
Correct answer
log x 2 √(81 - (log x) 2 ) + 81 2 sin -1 ( log x 9 ) + C
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