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Ted13
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Homework Statement
Hi guys,can anyone help me prove the following using integration by parts
∫xn⋅(ax+b)½=2/a(2n+3)(xn⋅(ax+b)3/2-nb∫xn-1⋅(ax+b)½)
Homework Equations
The Attempt at a Solution
Setting u=xn,dv=(ax+b)1/2dx
du=n⋅xn-1 and v = 2/3⋅(ax+b)3/2 i can never get b in the equation and the term 2n+3 in the denominator