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Expand the fraction $\frac{y+4}{y-4}$ into $2$ simpler fractions with common denominator $y-4$
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$\int\left(\frac{y}{y-4}+\frac{4}{y-4}\right)dy$
Learn how to solve definite integrals problems step by step online. Integrate the function (y+4)/(y-4) from -infinity to 1. Expand the fraction \frac{y+4}{y-4} into 2 simpler fractions with common denominator y-4. Expand the integral \int\left(\frac{y}{y-4}+\frac{4}{y-4}\right)dy into 2 integrals using the sum rule for integrals, to then solve each integral separately. Rewrite the fraction \frac{y}{y-4} inside the integral as the product of two functions: y\frac{1}{y-4}. We can solve the integral \int y\frac{1}{y-4}dy by applying integration by parts method to calculate the integral of the product of two functions, using the following formula.