考研数学基本积分表如下：
1. \(\int x^n dx = \frac{x^{n+1}}{n+1} + C\) （n ≠ -1）
2. \(\int x \ln x dx = \frac{x^2 \ln x}{2} - \frac{x^2}{4} + C\)
3. \(\int \sin x dx = -\cos x + C\)
4. \(\int \cos x dx = \sin x + C\)
5. \(\int \sec^2 x dx = \tan x + C\)
6. \(\int \csc^2 x dx = -\cot x + C\)
7. \(\int \sec x \tan x dx = \sec x + C\)
8. \(\int \csc x \cot x dx = -\csc x + C\)
9. \(\int e^x dx = e^x + C\)
10. \(\int a^x dx = \frac{a^x}{\ln a} + C\) （a > 0 且 a ≠ 1）
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