Can anyone please help me with a u substitution integration question: Work out the integral: `int x/(a+bx)^{3/2}dx`   let `u=a+bx`  Please help if you can very much appreciated if you do

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lfryerda eNotes educator | Certified Educator

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In this case, since the substitution is given in the question, we just need to carry out the procedure for substitution.

Since `u=a+bx` , then `du=bdx` so `dx=1/bdu` and `x=1/b(u-a)` .  This means...

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