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What is the antiderivative of #(5x)/(x^2+1)#?

1 Answer

Harish Chandra Rajpoot

Jul 23, 2018

#5/2\ln(x^2+1)+C#

Explanation:

Given that

#\int \frac{5x}{x^2+1}\ dx#

#=5/2\int \frac{2x}{x^2+1}\ dx#

#=5/2\int \frac{d(x^2+1)}{x^2+1}#

#=5/2\ln|x^2+1|+C#

#=5/2\ln(x^2+1)+C#

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