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$\int2x\left(2x^2+1\right)^2dx$
Learn how to solve integral calculus problems step by step online. Integrate the function 2x(2x^2+1)^2. Find the integral. First, factor the terms inside the radical by 2 for an easier handling. Taking the constant out of the radical. We can solve the integral \int8x\left(x^2+\frac{1}{2}\right)^2dx by applying integration method of trigonometric substitution using the substitution.