Two possible substitutions for are and

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Two possible substitutions for

\displaystyle \int \sin x\,\cos x\,dx

are

u=\sin x

and

u=\cos x

. Determine which substitution immediately rewrites the integral as

\int u\,du

and state that substitution.