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### How to Integrate sin(x)/x and cos(x)/x

Two simple functions, sin(x)/x and cos(x)/x, can't be integrated the easy way. Here is how it's done.

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### How to Calculate the Number of M&M's in a Container

Ever wondered how many M&M's can fit in a container?

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### Names of Geometric Shapes—With Pictures

Comprehensive illustrated list of names for both flat shapes and solid shapes. Geometry reference for elementary and middle school, as well as home school. Over 60 pictures of geometric shapes.

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### Should You Play Powerball or Mega Millions? Probability & Expected Return

This article has been recently edited to reflect the most recent changes in both lotteries' structures. Powerball and Mega Millions are the two largest lotteries in the US in terms of the number of players, revenue...

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### Keno Lottery Strategies, Odds, & Expected Winnings

Keno is a number drawing lottery game offered by many states. Keno games are fast since computerized drawings are held every 4 minutes or so and displayed on a monitor at the keno lottery vendor; players know within a...

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### Circles Inscribed in Squares: 7 Hard Geometry Problems & Solutions

Geometry problems involving circles inscribed in squares/rectangles, squares/rectangles inscribed in circles. Common on GMAT, SAT, and other standardized tests

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### List of Functions Without Antiderivatives

List of non-integrable functions in calculus, functions with no closed-form antiderivatives, i.e., cannot be expressed as elementary functions.

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### 7 Hard Trig Problems—Can You Solve These Challenging Geometry Problems?

Trigonometry is an area of geometry that deals with lengths and angles of triangles. And since many two-dimensional figures and three-dimensional sold shapes can be broken down into triangles, trigonometry is also used...

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### Volume of a Trapezoidal Prism: Formula and Examples

Formulas for the volume of a trapezoidal pyramid as well as several example problems to solve, with solutions.

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### How to Integrate Sqrt(1 + x^2) and Sqrt(a^2 + x^2)

The function y = sqrt(a^2 + x^2) is one half of a hyperbola (a two-piece conic section curve) oriented so that the line of symmetry is the y-axis. The integrals of the function y = sqrt(x^2 + 1) and that of the more...