※ 引述《bitchdog (上吧杰尼龟)》之铭言： : x^2 : ∫ t^2g(t)dt=x^6(x^2+1), then g(x)=? : 0 等号两边对 x 微分 (2x)((x^2)^2)(g(x^2)) = (6)(x^5)(x^2 + 1) + (x^6)(2x) (2)(x^5)(g(x^2)) = (8)(x^7) + (6)(x^5) (g(x^2)) = (4)(x^2) + 3 令 y = x^2 则 g(y) = 4y + 3 => g(x) = 4x + 3 --

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