Question

$\sf \red{\int(4x {}^{2} + 3 + x {}^{ \frac{1}{2} } )dx }$
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Answer 1

$\large\boxed{\begin{array}{l}\tt\int(4x^2+3+x^{\frac{1}{2}})dx\\\\\tt \int4x^2dx+\int3dx+\int x^{\frac{1}{2}}dx\\\\\tt \dfrac{4x^3}{3}+3x+\dfrac{x^{\frac{3}{2}}}{\dfrac{3}{2}}\\\\\tt \dfrac{4x^3}{3}+3x+\dfrac{2\sqrt{x^3}}{3}+C\end{array}}$