Найти неопределённый интеграл

1. ∫(arcsinx+1)dx/(√1-x²)=∫(arcsinx)dx/(√1-x²)+∫dx/(√1-x²)=

∫(arcsinx)*d(arcsinx)+∫dx/(√1-x²)=(arcsinx)²/2+(arcsinx)+c

2. ∫cos²x*sin⁴xdx=(1/8)∫(1+cos2x)(1-cos2x)²dx=(1/8)∫(1-cos²2x)(1-cos2x)dx=

(1/8)∫(1-cos²2x-cos2x+cos³2x)dx=

(1/8)∫(1-(1+cos4x)/2-cos2x+(1+cos4x)/2*cos2x)dx=

(1/8)∫(1-cos2x-(1+cos4x)/2+((1+cos4x)/2)*cos2x)dx=

(1/8)∫(1-cos2x-1/2-((cos4x)/2)+((1/2)cos2x+(1/2)*cos2x*cos4x)dx=

(1/8)∫(1-cos2x-1/2-((cos4x)/2)+((1/2)cos2x+(1/2)*cos2x*cos4x)dx=

(1/8)∫(1-cos2x-1/2-((cos4x)/2)+((1/2)cos2x+(1/4)*cos2x+(1/4)cos6x)dx=

(1/8)∫(1/2-(1/4)cos2x-((cos4x)/2)+(1/4)cos6x)dx=

(1/16)*∫(1-(1/2)cos2x-cos4x+(1/2)cos6x)dx=

(х/16)-(sin2x/64)-(sin4x/64)+(sin6x/192)+c