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

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

Text Solution

Verified by Experts

`int f'(x)=2x^4-x^2+C`

Given that, `f(2)=8`

`2(2^4)-2^2+C=8`

`32-4+C=8`

`C=-20`

So, `f(x)=2x^4-x^2-20`
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