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$\int_{0}^{4}\sqrt{3x}\left(\sqrt{x}+\sqrt{3}\right)dx$
Learn how to solve problems step by step online. Integrate the function (3x)^1/2(x^1/2+3^1/2) from 0 to 4. Simplifying. Rewrite the integrand \sqrt{3x}\left(\sqrt{x}+\sqrt{3}\right) in expanded form. Expand the integral \int_{0}^{4}\left(\sqrt{3}x+3\sqrt{x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{4}\sqrt{3}xdx results in: 8\sqrt{3}.