Evaluate \[ \int \sin x\,\cos(\cos x)\,dx. \]
Solution
Let \(u=\cos x\), so \(du=-\sin x\,dx\). Then \[ \int \sin x\,\cos(\cos x)\,dx =-\int\cos u\,du =\boxed{-\sin(\cos x)+C}. \]
$\int\sin(x)\cos(\cos(x))\,dx$
P-D75SD
- Area
- Prelim
- Topics
- Integrals, Trigonometry, u-Substitution
- Status
- draft