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Evaluating $\lim_{x\to\infty}\frac{\int_0^{2x}\sqrt{1+t^2}dt}{x^2}$

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Sum of n terms of this series

Published on 25 Mar 2026 - 3:02

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Dirac delta from poles of a function

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If $x:y=2:1$ and $y:z=2:1$, then $x$,$y$,$z$ are continued proportional? and/or $z:x=1:4$? and/or $y^2+z x=4yz$?

Published on 25 Mar 2026 - 7:46

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How many reduced fractions a/b such that ab=20! and 0 < a/b < 1?

Published on 25 Mar 2026 - 18:56

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Find $\mathcal{L}^{-1} \frac{9}{(s+3)^3} $

Published on 22 Mar 2026 - 15:32

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Solve $8\sin x=\frac{\sqrt{3}}{\cos x}+\frac{1}{\sin x}$

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One-step equations with negatives (Fractions)

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How many slices of pizza do we have?

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Multi-dimensional Integration

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Does there lie a logic/reason behind precedence rule of mathematical operators?

Published on 24 Aug 2018 - 11:13

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expressing $\frac{a_0 + a_1 + \cdots}{b_0 + b_1 +\cdots}$ in terms of $\frac{a_0}{b_0}, \frac{a_1}{b_1},\ldots$

Published on 25 Mar 2026 - 4:43

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$\;32\displaystyle\left(\sum_{c}\frac{1}{7+(x-3)^2}\right)\leq \sum_{c} \frac{x^2+yz}{y+z}+6$

Published on 25 Mar 2026 - 13:05

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I can't solve $x-2<\frac{1}{x-1}$

Published on 25 Mar 2026 - 23:08

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Evaluating $\lim_{x\to\infty}\frac{\int_0^{2x}\sqrt{1+t^2}dt}{x^2}$

Sum of n terms of this series

Dirac delta from poles of a function

If $x:y=2:1$ and $y:z=2:1$, then $x$,$y$,$z$ are continued proportional? and/or $z:x=1:4$? and/or $y^2+z x=4yz$?

How many reduced fractions a/b such that ab=20! and 0 < a/b < 1?

Find $\mathcal{L}^{-1} \frac{9}{(s+3)^3} $

Solve $8\sin x=\frac{\sqrt{3}}{\cos x}+\frac{1}{\sin x}$

One-step equations with negatives (Fractions)

How many slices of pizza do we have?

Multi-dimensional Integration

Does there lie a logic/reason behind precedence rule of mathematical operators?

expressing $\frac{a_0 + a_1 + \cdots}{b_0 + b_1 +\cdots}$ in terms of $\frac{a_0}{b_0}, \frac{a_1}{b_1},\ldots$

$\;32\displaystyle\left(\sum_{c}\frac{1}{7+(x-3)^2}\right)\leq \sum_{c} \frac{x^2+yz}{y+z}+6$

I can't solve $x-2<\frac{1}{x-1}$

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