Question

Интеграл (x^2+2)^2/корень из х по dx

Answer 1

$= frac{2}{9} * x^{9/2} +4* frac{2}{5} * x^{5/2} +4*2* x^{1/2} = frac{2}{9} * x^{9/2} + frac{8}{5} * x^{5/2} + 8 * x^{1/2} =$$int { frac{ (x^{2}+2) ^{2} }{ sqrt{x} } , dx = int frac{x^{4}+4x^{2}+4}{ sqrt{x} } , dx = int { frac{ x^{4} }{ sqrt{x} } , dx + int { frac{4 x^{2} }{ sqrt{x} } , dx + int { frac{4} sqrt{x} } , dx int { x^{7/2}} , dx +4 int { x^{3/2} } , dx +4 int { x^{-1/2}} , dx$