安卓手机扫描二维码安装App

第2010题：用多项式除法，注意余式



计算不定积分 ∫x6x2+x−2dx \int \dfrac{x^6}{x^2+x-2} dx .



A. x55−x44+x3−\dfrac{x^5}{5}-\dfrac{x^4}{4}+x^3 -5x22+11x \dfrac{5x^2}{2}+11x +13ln∣x−1(x+2)64∣+C+\dfrac{1}{3} \ln \Big | \dfrac{x-1}{(x+2)^{64}} \Big | +C



B. x55−x44\dfrac{x^5}{5}-\dfrac{x^4}{4} +x33−5x22+11x+\dfrac{x^3}{3} -\dfrac{5x^2}{2}+11x +13ln∣x−1(x+2)64∣+C+\dfrac{1}{3} \ln \Big | \dfrac{x-1}{(x+2)^{64}} \Big | +C



C. x55−x44+2x33\dfrac{x^5}{5}-\dfrac{x^4}{4}+\dfrac{2x^3}{3} −5x22+11x-\dfrac{5x^2}{2}+11x +13ln∣x+2(x−1)64∣+C+\dfrac{1}{3} \ln \Big | \dfrac{x+2}{(x-1)^{64}} \Big | +C


D. x55−x44+x3\dfrac{x^5}{5}-\dfrac{x^4}{4}+x^3 −5x22+11x-\dfrac{5x^2}{2}+11x +13ln∣x−1(x+2)128∣+C+\dfrac{1}{3} \ln \Big | \dfrac{x-1}{(x+2)^{128}} \Big | +C

苹果手机扫描二维码安装App
我来回答