Question

If $integral subscript 0 superscript straight a 3 space straight x squared space dx space equals space 8.$
find the value of a.

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Solution

integral subscript 0 superscript straight a space 3 straight x squared dx space equals space 8

rightwards double arrow space space space space open square brackets fraction numerator 3 straight x cubed over denominator 3 end fraction close square brackets subscript 0 superscript straight a space equals space 8

rightwards double arrow space space space space space straight a cubed space equals space 8 space space space space space space space rightwards double arrow space space space space straight a space space equals space 2

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