AM-2020

Definite integrals

A Math · Secondary 4 · Hard · Definite integrals

A function

f

is defined for all real

x

and its derivative is

f'(x)=12e^{-4x}

. Given that the curve

y=f(x)

passes through

(0,5)

, find

f(x)

.

$-3e^{-4x}+8$
$3e^{-4x}+2$
$-3e^{4x}+8$
$3e^{4x}+2$

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