科数网
试题 ID 4502
【所属试卷】
计算下列不定积分
(1) $\int \dfrac {x^{2}}{ \sqrt {1-x^{2}}}dx$.
(2) $\int \dfrac {x^{3}}{ \sqrt {1-x^{2}}}dx$.
(3) $\int \dfrac {dx}{1+ \sqrt {1-x^{2}}}$.
(4) $\int \dfrac {dx}{x \sqrt {1+x^{2}}}$.
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答案：
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解析：
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计算下列不定积分<br>(1) $\int \dfrac {x^{2}}{ \sqrt {1-x^{2}}}dx$.<br> <br>(2) $\int \dfrac {x^{3}}{ \sqrt {1-x^{2}}}dx$.<br><br>(3) $\int \dfrac {dx}{1+ \sqrt {1-x^{2}}}$. <br><br>(4) $\int \dfrac {dx}{x \sqrt {1+x^{2}}}$. <div> </div> <br /> <br /> <b>答案</b> <div> 答案与解析仅限VIP可见 </div> <br /> <br /> <b>解析</b> <div> 答案与解析仅限VIP可见 </div>