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$\int-4xy^2dx$
Learn how to solve integral calculus problems step by step online. Find the antiderivative d/dx(y)=-4xy^2. Find the integral. The integral of a function times a constant (-4) is equal to the constant times the integral of the function. The integral of a function times a constant (y^2) is equal to the constant times the integral of the function. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, in this case n=1.