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give a substitution (not necessarily a trigonometric) which could be used to find the integral of x/sqrt{(x^2+10}
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try \(u=x^2+10\) and you will be done quickly
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integral of x/sqrt{(x^2+10} let u=(x^2+10) du=2xdx sub this integral of x/sqrt{(x^2+10} =(1/2)integral of 2xdx/sqrt{(x^2+10} =(1/2)integral of2u^(-1/2) du =(1/2)u^1/2 /(1/2) =sqrt(x^2+10) +C
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