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例题 6.12 求 $\displaystyle \int \frac{\sqrt{x^{6}+45 x^{2}+18}}{x^{4}+2 x^{2}-3} \mathrm{~d} x$.(By 魏念辉)
例题 6.13 求 $\displaystyle \int \frac{\sqrt{\sec x-9 \cos x}}{4-3 \sin ^{2} x} \mathrm{~d} x$.
例题 6.14 求 $\displaystyle \int \frac{\mathrm{d} x}{x \sqrt[4]{x^{3}-3 x^{2}+4 x-2}}$.
例题 6.15 求 $\displaystyle \int \frac{\tan ^{2} x}{1+\sec ^{2} x} \sqrt[3]{\tan x \cdot \sec x} \mathrm{~d} x$
例题 6.16 求 $\displaystyle \int \frac{\sqrt{\sin x}}{1+\sin ^{2} x} \mathrm{~d} x$ |
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