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$\int\frac{1\left(x+2\right)\cdot \left(x+2\right)}{2}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function ((x+2)(x+2)*1)/2. Find the integral. Simplify the expression inside the integral. Take the constant \frac{1}{2} out of the integral. 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.