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Take out the constant $2$ from the integral
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$2\int\frac{y^4}{y^3-y^2+y-1}dy$
Learn how to solve problems step by step online. Find the integral int((2y^4)/(y^3-y^2y+-1))dy. Take out the constant 2 from the integral. Divide y^4 by y^3-y^2+y-1. Resulting polynomial. Expand the integral \int\left(y+1+\frac{1}{y^3-y^2+y-1}\right)dy into 3 integrals using the sum rule for integrals, to then solve each integral separately.