Re: Antiderivative problem
int[1000x/(x^2+16)]dx is ln(x^2+16)*500
Now we check that the derivative of ln(x^2+16)*500 =1000x/(x^2+16)
Since we know that the derivative of lnx =1/x , then the derivative of ln(x^2+16) = 1/(x^2+16)*2x . Now if we multiply 2x by the constant 500 we get 1000x .
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