高数积分，这道题的奇偶性是怎么判断的？ 积分函数的奇偶性怎么判断？望耐心
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绛旓細鑻(x)涓哄鍑芥暟,鈭紙0锛寈锛塮(t)dt璁颁綔G1(x)G1(-x) = 鈭紙0锛-x锛塮(t)dt = 鈭紙0锛寈锛塮(-u)d(-u)= 鈭紙0锛寈锛塮(u)d(u)= 鈭紙0锛寈锛塮(t)dt =G1(x)鑻(x)涓哄伓鍑芥暟,鈭紙0锛寈锛塮(t)dt璁颁綔G2(x)G2(-x) = 鈭紙0锛-x锛塮(t)dt = 鈭紙0锛寈锛塮(-u...
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绛旓細F(x)=x鈭(0,x)f(t)dt-2鈭(0,x)tf(t)dt 浠=-t锛屽垯dt=-du F(x)=-x鈭(0,-x)f(-u)du+2鈭(0,-x)(-u)f(-u)du =-x鈭(0,-x)f(u)du-2鈭(0,-x)uf(u)du 鍥犱负F(-x)=x鈭(0,x)f(u)du-2鈭(0,x)uf(u)du=F(x)鎵浠(x)鏄伓鍑芥暟 ...
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