Question

Математика-интегралы
Помогите решить!!!

Answer 1

$displaystyle intfrac{x^2+xsqrt[3]{x}+sqrt{x}}{xsqrt{x}}dx = int(x^{1/2}+x^{-1/6}+1/x)dx = \\ =frac{2}{3}x^{3/2}+frac{6}{5}x^{5/6}+ln|x| + C\\ intleft(frac{2}{sqrt{9-4x^2}}+frac{1}{e^x}right)dx = frac{2}{3}intfrac{1.5d(2x/3)}{sqrt{1-(2x/3)^2}} -e^{-x} =\\ =arcsin(2x/3)-e^{-x}+C$