Find the integral $\int\frac{2y+3}{-2y^2+1\cdot -6y+2}dy$

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$\int\frac{2y+3}{-2y^2-6y+2}dy$

Learn how to solve sum rule of differentiation problems step by step online. Find the integral int((2y+3)/(-2y^2+1*-6y+2))dy. Simplifying. Rewrite the expression \frac{2y+3}{-2y^2-6y+2} inside the integral in factored form. Take the constant \frac{1}{2} out of the integral. We can solve the integral \int\frac{2y+3}{-y^2-3y+1}dy by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that -y^2-3y+1 it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.