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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. We can solve the integral \int xy^2dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du.