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Take out the constant $4$ from the integral
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$4\int\frac{x}{x^2+4x-1}dx$
Learn how to solve problems step by step online. Find the integral int((4x)/(x^2+4x+-1))dx. Take out the constant 4 from the integral. Rewrite the fraction \frac{x}{x^2+4x-1} inside the integral as the product of two functions: x\frac{1}{x^2+4x-1}. We can solve the integral \int x\frac{1}{x^2+4x-1}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du.