Mathematics · Integration
The integral ∫ √(x2 + 1) [log(x2 + 1) - 2 log x]x4 dx is equal to:
- 119 ( x2 + 1x2 )3/2 [ 2 + 3 log( x2 + 1x2 ) ] + C
- 219 ( x2 + 1x2 )3/2 [ 3 log( x2 + 1x2 ) - 2 ] + C
- 313 ( x2 + 1x2 )3/2 [ 2 - log( x2 + 1x2 ) ] + C
- 419 ( x2 + 1x2 )3/2 [ 2 - 3 log( x2 + 1x2 ) ] + C✓
Correct answer
19 ( x2 + 1x2 )3/2 [ 2 - 3 log( x2 + 1x2 ) ] + C
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