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$\int\left(\left(x-2\right)^2+4\left(y+1\right)\right)dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (x-2)^2+4(y+1). Find the integral. Solve the product 4\left(y+1\right). Expand the integral \int\left(\left(x-2\right)^2+4y+4\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. We can solve the integral \int\left(x-2\right)^2dx 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 x-2 it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.