AP

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

Problem

\int \frac{dx}{\sqrt{1+x} + \sqrt{x}} =

(A)

\frac{2}{3}(1+x)^{2/3} - \frac{2}{3}x^{2/3} + c

(B)

\frac{3}{2}(1+x)^{2/3} + \frac{3}{2}x^{2/3} + c

(C)

\frac{3}{2}(1+x)^{3/2} + \frac{3}{2}x^{3/2} + c

(D)

\frac{2}{3}(1+x)^{3/2} - \frac{2}{3}x^{3/2} + c