치환적분,integration_by_substitution (rev. 1.4)
$\displaystyle \int(2x+6)^5dx$
Sol.
$\displaystyle u=2x+6$ 으로 치환하면
$\displaystyle du=2dx$
$\displaystyle \frac12du=dx$ 이고
준식
$\displaystyle =\int u^5 dx$ $\displaystyle =\frac12\int u^5du$
$\displaystyle =\frac1{12}u^6+C$
$\displaystyle =\frac1{12}(2x+6)^6+C$
