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If f^(prime)(x)=8x^3-2x ,f(2)=8, find f(...

If `f^(prime)(x)=8x^3-2x ,f(2)=8,` find `f(x)`

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`f^{prime}(x)=8 x^{3}-2 x f(2)=8`
` f^{prime}(x)=8 x^{3}-2 x`
` int f^{prime}(x) d x=int(8 x^{3}-2 x) d x`
` =8 int x^{3} d x-2 int x d x`
` f(x)=8[frac{x^{4}}{4}]-2 times frac{x^{2}}{2}+C`
` f(x)=2 x^{4}-x^{2}+C`
` f(2)=8`
G i v e n
` f(2)=2 times 2^{4}-2^{2}+C`
` ...
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