Let be a solution to with

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let

y

be a solution to

\dfrac{dy}{dx}=4x^{3}-\dfrac{2}{x}

with

y(1)=5

. What is the value of

y(2)

? (a)

16-2\ln 2

(b)

20-\ln 2

(c)

20-2\ln 2

(d)

20+2\ln 2