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$\int2x\left(2x^2-6x+3\right)dx$
Learn how to solve differential calculus problems step by step online. Find the integral of 2x(2x^2-6x+3). Find the integral. The integral of a function times a constant (2) is equal to the constant times the integral of the function. Rewrite the integrand x\left(2x^2-6x+3\right) in expanded form. Expand the integral \int\left(2x^{3}-6x^2+3x\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately.