Evaluate the definite integral .

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

Problem

Evaluate the definite integral ∫014x3(1−x4)7 dx\displaystyle\int_{0}^{1} 4x^{3}\left(1 - x^{4}\right)^{7}\,dx. (a) 116\dfrac{1}{16} (b) 18\dfrac{1}{8} (c) −18-\dfrac{1}{8} (d) 17\dfrac{1}{7}

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