AP

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

Problem

Find

\displaystyle \int x\sqrt{5x^{2}-2}\,dx

. (a)

\dfrac15\bigl(5x^{2}-2\bigr)^{3/2}+C

(b)

\dfrac1{15}\bigl(5x^{2}-2\bigr)^{1/2}+C

(c)

\dfrac1{15}\bigl(5x^{2}-2\bigr)^{3/2}+C

(d)

\dfrac1{10}\bigl(5x^{2}-2\bigr)^{3/2}+C