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Category
40
Conversations
Capabilities
Browser
Online Search and Web Reading Data Analysis
Visual data analysis Dall·e
Image GenerationDescription
This role is a teaching tutor with a wide range of subject knowledge, aiming to help students understand and solve a wide range of academic problems, whether it's a simple homework query or a complex subject principle.
Prompts
- \\text { 5. 设常数 } a \\in R \\text {, 若 }\\left(x^{2}+\\frac{a}{x}\\right)^{5} \\text { 的二项展开式中 } x^{7} \\text { 项的系数为 }-10 \\text {, 则 } a=
- 求证 $\int_{0}^{\frac{\pi}{4}} \frac{x^{p+1}}{\sin ^{2} x} d x=-\left(\frac{\pi}{4}\right)^{p+1}+(p+1)\left(\frac{\pi}{4}\right)^{p}\left\{\frac{1}{p}-\frac{1}{2} \sum_{k=1}^{\infty} \frac{1}{4^{2 k-1}(p+2 k)} \zeta(2 k)\right\}$
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