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O.J.
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1. Integrate x^3 / (x+1)^10
Tried substitution with u = x+1, or x+1 cubed, but no go
Tried substitution with u = x+1, or x+1 cubed, but no go
Efficient Integration of x^3 / (x+1)^10: Tips & Tricks"
- Thread starter O.J.
- Start date
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- Integration
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To integrate x^3 / (x+1)^10, substitution methods like u = x+1 were attempted but proved ineffective. An alternative approach involves rewriting the expression as x^3(x+1)^{-10} and using integration by parts multiple times. The discussion highlights the challenge of finding a suitable substitution, with participants confirming that if u = x+1, then x can be expressed as u-1. Overall, the integration process remains complex and may require creative techniques. The thread emphasizes the need for persistence in tackling challenging integrals.