AP

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

Problem

∫x(1+x1/3)4 dx\int \sqrt{x}(1+x^{1/3})^4\,dx is equal to (a) 2{x2/3+411x11/6+613x13/6+415x5/2+117x17/6}+c2\left\{x^{2/3} + \frac{4}{11}x^{11/6} + \frac{6}{13}x^{13/6} + \frac{4}{15}x^{5/2} + \frac{1}{17}x^{17/6}\right\} + c (b) 6{x2/3−411x11/6+613x13/6−415x5/2+117x17/6}+c6\left\{x^{2/3} - \frac{4}{11}x^{11/6} + \frac{6}{13}x^{13/6} - \frac{4}{15}x^{5/2} + \frac{1}{17}x^{17/6}\right\} + c (c) 6{x2/3+411x11/6+613x13/6+415x5/2+117x17/6}+c6\left\{x^{2/3} + \frac{4}{11}x^{11/6} + \frac{6}{13}x^{13/6} + \frac{4}{15}x^{5/2} + \frac{1}{17}x^{17/6}\right\} + c (d) None of these

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