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Simplify the expression
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$\int_{0}^{l}\left(1.738-1.52\times 10^{-3}x\right)\left(\frac{3x^2}{2l^2}+\frac{-x^3}{2l^3}\right)^2dx$
Learn how to solve problems step by step online. Integrate the function (1.738-1.52310^(-3.0)x)((3x^2)/(2l^2)+(-x^3)/(2l^3))^2 from 0 to l. Simplify the expression. Rewrite the integrand \left(1.738-1.52\times 10^{-3}x\right)\left(\frac{3x^2}{2l^2}+\frac{-x^3}{2l^3}\right)^2 in expanded form. Take the constant \frac{1}{4l^{6}} out of the integral. Expand the integral \int\left(1.738\left(3x^2l-x^3\right)^2-1.52\times 10^{-3}\left(3x^2l-x^3\right)^2x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.
