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Prove Reduction Formula for Integral: x(1-x^3)^n dx
Ok, I get it now. Thanks(:- ani411
- Post #4
- Forum: Calculus and Beyond Homework Help
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Prove Reduction Formula for Integral: x(1-x^3)^n dx
Homework Statement In= (the integral) x(1-x^3)^ndx Prove that (3n +2)In = 3nIn-1 + x^2(1 - x)^n Hence find In in terms of n The Attempt at a Solution I tried integration by parts (by letting u be (1-x^3)^n and got stuck after this: In = 1/2x^2(1-x^3)^n + (the...- ani411
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- Formula Reduction
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- Forum: Calculus and Beyond Homework Help