∫ x^9/√(2-x^20) dx
let
x^10 =(√2)siny
10x^9 dx = (√2)cosy dy
∫ x^9/√(2-x^20) dx
=(1/10)∫ dy
=(1/10) y + C
=(1/10) arcsiny(x^10/√2) + C
不定积分 x^9/根号(2-x^20)dx
∫ x^9/√(2-x^20) dx
let
x^10 =(√2)siny
10x^9 dx = (√2)cosy dy
∫ x^9/√(2-x^20) dx
=(1/10)∫ dy
=(1/10) y + C
=(1/10) arcsiny(x^10/√2) + C