PART 6：例題-變數變換(1)(求不定積分)

\(\int {\cos x \cdot {{\sin }^{10}}x\;dx} \)

SOL:

( 直接將 \(\cos xdx\) 合併為 \(d\sin x\) )

\(\int {\cos x \cdot {{\sin }^{10}}x\;dx}  = \)  \(\int {{{\sin }^{10}}x\;d\sin x} \) \( = \frac{1}{{11}}{\sin ^{11}}x + C\)