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$\int\left(2x^2\right)^2dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (2x^2)^2. Find the integral. The power of a product is equal to the product of it's factors raised to the same power. The integral of a function times a constant (4) is equal to the constant times the integral of the function. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as 4.