AP

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

Problem

Evaluate

\displaystyle\int x\sqrt{1+x^{2}}\,dx

. (a)

\dfrac{2}{3}(1+x^{2})^{3/2}+C

(b)

\dfrac{1}{4}(1+x^{2})^{2}+C

(c)

\dfrac{1}{3}(1+x^{2})^{3/2}+C

(d)

\dfrac{1}{3}(1+x^{2})^{1/2}+C