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Find the integralintsqrt(x)(3x^2+2x+3)dx...

Find the integral`intsqrt(x)(3x^2+2x+3)dx`

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To solve the integral \(\int \sqrt{x}(3x^2 + 2x + 3) \, dx\), we will follow these steps: ### Step 1: Rewrite the Integral We start by rewriting \(\sqrt{x}\) as \(x^{1/2}\). Thus, the integral becomes: \[ \int \sqrt{x}(3x^2 + 2x + 3) \, dx = \int x^{1/2}(3x^2 + 2x + 3) \, dx \] ...
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