Mathematics · Integration
Evaluate the following integral: ∫ √(x 2 +1) [log(x 2 +1) - 2log 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 + 3log( x 2 +1 x 2 ) ] + C
- 21 9 ( x 2 +1 x 2 ) 3/2 · [ 3log( x 2 +1 x 2 ) - 2 ] + C
- 31 3 ( x 2 +1 x 2 ) 3/2 · [ 2 - log( x 2 +1 x 2 ) ] + C
- 41 9 ( x 2 +1 x 2 ) 3/2 · [ 2 - 3log( x 2 +1 x 2 ) ] + C✓
Correct answer
1 9 ( x 2 +1 x 2 ) 3/2 · [ 2 - 3log( x 2 +1 x 2 ) ] + C
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