1/[√(x + 1) + √(x - 1)] * [√(x + 1) - √(x - 1)]/[√(x + 1) - √(x - 1)],分母有理化= [√(x + 1) - √(x - 1)]/[(x + 1) - (x - 1)]= (1/2)[√(x + 1) - √(x - 1)]∫ dx/[√(x + 1) + √(x - 1)] = (1/2)∫...第一题不对啊是么，那你的答案是什么？标准答案是1/3[（X+1）√（X+1）-（X-1）√（X-1）]+C(x + 1)^(3/2) = (x + 1)^(1 + 1/2) = (x + 1) * (x + 1)^(1/2) = (x + 1)√(x + 1)(x - 1)^(3/2) = (x - 1)^(1 + 1/2) = (x - 1) * (x - 1)^(1/2) = (x - 1)√(x - 1)(1/3)(x + 1)^(3/2) - (1/3)(x - 1)^(3/2) + C= (1/3)[(x + 1)^(3/2) - (x - 1)^(3/2)] + C= (1/3)[(x + 1)√(x + 1) - (x - 1)√(x - 1)] + C感觉这题目不是你的功课- -