Let . If , then…

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

Problem

Let F(x)=∫(2x32−4x−2) dxF(x)=\displaystyle \int (2x^{\tfrac{3}{2}}-4x^{-2})\,dx. If F(1)=0F(1)=0, then F(4)F(4) equals (a) 1285\dfrac{128}{5} (b) 1045\dfrac{104}{5} (c) 1095\dfrac{109}{5} (d) 1395\dfrac{139}{5}

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