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Grade 12Integral Calculus

if f ‘(x) = 8(x)^3 – 2x , f(2) = 8 find f(x)

taniska

11 Years agoGrade 12

1 Answer

Jitender Singh

11 Years ago

Ans:
Hello Student,
Please find answer to your question below

$f'(x) = 8x^3-2x$
$\frac{df(x)}{dx} = 8x^3-2x$
$df(x) = (8x^3-2x)dx$
$\int df(x) = \int (8x^3-2x)dx$
$f(x) = 2x^4 - x^2 + c$
$f(2) = 2.2^4 - 2^2 + c$
$8 = 32 - 4 + c$
$c = -20$
$f(x) = 2x^4 - x^2 - 20$

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