Question

46(е,з)
47(б,г)
..............................

Answer 1

$46e); ; int frac{z^3-8}{2-z}, dz=int frac{(x-2)(z^2+2z+4)}{-(z-2)}, dz=int (-z^2-2z-4), dz=\\=-frac{z^3}{3}-z^2-4z+C\\46z); ; int (u+1)^2(3u-4)du=int (u^2+2u+1)(3u-4)du=\\=int (3u^3-4u^2+6u^2-8u+3u-4)du=int (3u^3+2u^2-5u-4)du=\\=frac{3u^4}{4}+frac{2u^3}{3}-frac{5u^2}{2}-4u+C\\47b); ; int (frac{cosx}{2}+frac{1}{cos^2x})dx=frac{1}{2}cdot sinx+tgx+C$

$47g); ; int frac{cos2y}{sin^2ycdot cos^2y}dy=int frac{cos^2y-sin^2y}{sin^2ycdot cos^2y}dy=\\=int frac{cos^2ycdot dy}{sin^2ycdot cos^2y}-int frac{sin^2ycdot dy}{sin^2ycdot cos^2y}=int frac{dy}{sin^2y}-int frac{dy}{cos^2y}=\\=-ctgy-tgy+C$

Answer 2

https://znanija.com/task/29641470 МОЖНО ЕЩЕ ЭТО