Gabi Purcaru
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### Questions (5)

 13 Help me evaluate $\int_0^1 \frac{\log(x+1)}{1+x^2} dx$ 7 How to solve integral recursive relation - $I_n=\int_0^1(x-x^2)^ndx$ 6 How to find all morphisms from $(\mathbb{N}, \mid)$ to $(\mathbb{N}, \mid)$? 1 How to prove that $(X^a -1, X^b - 1) = X^{(a,b)}-1$ 1 Help me evaluate $\int \arccos(\frac{x^3-3x}{2})dx$

### Reputation (361)

 +45 Help me evaluate $\int_0^1 \frac{\log(x+1)}{1+x^2} dx$ +60 Help me evaluate $\int_0^1 \frac{\log(x+1)}{1+x^2} dx$ +5 How to prove that $(X^a -1, X^b - 1) = X^{(a,b)}-1$ +5 How to find all morphisms from $(\mathbb{N}, \mid)$ to $(\mathbb{N}, \mid)$?

 11 Help me evaluate $\int_0^1 \frac{\log(x+1)}{1+x^2} dx$

### Tags (6)

 11 calculus × 4 0 polynomials 11 integration × 3 0 definite-integrals 0 linear-algebra 0 abstract-algebra

### Accounts (19)

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### Votes Cast (13)

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