Find $\displaystyle \int (ax)\ln(cx)\; dx $

Split $\displaystyle \frac{b}{(cx + d)(px+q)}$ into partial fractions.

Given a probability mass function $P(X=i)$ with outcomes $i \in \{0,1,2,\ldots 8\}$, find the expectation $E$ and $P(X \gt E)$.

Determine if the following describes a probability mass function.

$P(X=x) = \frac{ax+b}{c},\;\;x \in S=\{n_1,\;n_2,\;n_3,\;n_4\}\subset \mathbb{R}$.

Two numbers from a set of $5$ numbers are chosen at random, without replacement. Find the distribution $X$ of their sum and $E[X]$.

Step by step solving for integration by substitution

Solving integration by substitution without help

Solving integration by substitution without help

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!

Using the chain rule with polynomials

The custom function rectangle(width,height) draws a rectangle with the given dimensions, along with some labels.

A basic introduction to differentiation

Using the chain rule with polynomials and negative powers

Using the chain rule within product rule problems

Finding the stationary points of a cubic with two turning points

Real life problems with differentiation

More work on differentiation with fractional coefficients

More work on differentiation with fractional coefficients and powers

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!

Compute a 95% confidence interval for the population mean given a small sample, and compare it with a confidence interval for a different population.

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Working with BODMAS at a basic level

Using BODMAS within mathematical expressions

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