AP CALCULUS STUDENT HANDOUT Applying Procedures for U$-$Substitution The table below gives the same indefinite integrals from the Introductory Activity. This time, let u equal the inside function identified before, determine its differential du$,$ and then use this substitution to construct an equivalent integral in terms of u and du only. Inside function Integral u du Integral in terms of u Example: $[*($x$+1)*$ dx u$=$ x $+1$ du $=3$x$?$dx $1.2$x $+5$ S W$2*5871$ dx $2.$ dx $3.($x $+$ x$)(**+2$x $+7)$ dx $4.$ x dx Vx$+45.[$x$(+1)\text{'}$ dx