Question
Write an anti derivative of function using the method of inspection: 3x2 + 4x3

Answer

A function whose anti derivative is 3x2 + 4x3.
$\frac{d}{d x}\left(x^{3}+x^{4}\right)=3 x^{2}+4 x^{3}$ 
Therefore, an anti derivative of 3x2 + 4x3 is x3 + x4

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