Integral of $\sin^5x\cdot\cos^{14}x$
It is in fact $u=-\cos x$ and by substitution we get $$\frac{1}{15}u^{15}-\frac{2}{17}u^{17}+\frac{1}{19}u^{19}\Bigg|_{-1}^0={1\over 15}-{2\over 17}+{1\over 19}={8\over 4845}$$You where only wrong in substitution...