求∫(2-x)/(根号1-x^2)dx

问题描述:

求∫(2-x)/(根号1-x^2)dx

∫(2-x)/√(1-x^2)dx
=2∫1/√(1-x^2)dx-∫x/√(1-x^2)dx
=2arcsinx+√(1-x^2)+c