Mathematics · Integration
Evaluate the integral: ∫ √(x 2 + 1) [log(x 2 + 1) - 2 log x] x 4 dx
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 11 9 ( x 2 + 1 x 2 ) 3/2 · [2 - 3 log( x 2 + 1 x 2 )] + C✓
- 21 3 ( x 2 + 1 x 2 ) 3/2 · [2 - log( x 2 + 1 x 2 )] + C
- 31 9 ( x 2 + 1 x 2 ) 3/2 · [3 log( x 2 + 1 x 2 ) - 2] + C
- 41 9 ( x 2 + 1 x 2 ) 3/2 · [2 + 3 log( x 2 + 1 x 2 )] + C
Correct answer
1 9 ( x 2 + 1 x 2 ) 3/2 · [2 - 3 log( x 2 + 1 x 2 )] + C
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