求解定积分.
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求解定积分.求解定积分. 求解定积分.∫3x^2/(1-2x^2)dx=-(3/2)∫dx+(3/2)∫dx/(1-2x^2)=-3x/2+(3/2)∫dx/(1-2x^2)=-3x/2+(
求解定积分.
求解定积分.
求解定积分.
∫ 3x^2/(1-2x^2) dx
= -(3/2)∫dx + (3/2)∫ dx/(1-2x^2)
=-3x/2 + (3/2)∫ dx/(1-2x^2)
=-3x/2 + (3/4) ∫ [1/(1-√2x) +1/(1+√2x)] dx
=-3x/2 + (3√2/8)ln|(1+√2x)/(1-√2x)| + C