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Rewrite the expression $\left(4x-2\right)\left(8x-10\right)$ inside the integral in factored form
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$\int_{0}^{2}4\left(2x-1\right)\left(4x-5\right)dx$
Learn how to solve problems step by step online. Integrate the function (4x-2)(8x-10) from 0 to 2. Rewrite the expression \left(4x-2\right)\left(8x-10\right) inside the integral in factored form. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Rewrite the integrand \left(2x-1\right)\left(4x-5\right) in expanded form. Expand the integral \int_{0}^{2}\left(8x^2-14x+5\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately.