计算定积分:
∫1/20arcsinxdx
∫1/20arcsinxdx=[xarcsinx]1/20-∫1/20xdx/√1-x2=π/12+(1/2)∫1/20d(1-x)2/√1-x2 =π/12-√1-x2|1/20=π/12+√3/2-1.
计算定积分:
∫1/20arcsinxdx
∫1/20arcsinxdx=[xarcsinx]1/20-∫1/20xdx/√1-x2=π/12+(1/2)∫1/20d(1-x)2/√1-x2 =π/12-√1-x2|1/20=π/12+√3/2-1.