Math Docs

This is a new category on the website. Here, you can find math documents containing solutions & explanations to various problems.

Topic

Document

$\int \cos(x) \sqrt{9 + 25\sin^2(x)} \; dx$

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$\int \frac{\sin(x)\cos(x)}{\sin^4(x) + \cos^4(x)}\; dx$

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$\int \frac{1}{x^3 - 1} \; dx$

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$ \DeclareMathOperator{\sech}{sech} \int \sech(x) \; dx$

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Integrals of Recursive Functions

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$\pi = 4\sum_{n=0}^{\infty} {\frac{1}{2} \choose n} (-1)^n \frac{1}{2n+1}$

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Bernoulli Differential Equation

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$n+2$ Perfect Square Proof

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$\sum_{j=0}^{n} \left(-\frac{1}{2}\right)^j = \frac{2^{n+1} + (-1)^n}{3\cdot2^n}$

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Composite Factorizations

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