Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

Calculate a particular harmonic component of the complex form of a Fourier series expansion.

Calculating particular harmonic components of a Fourier series expansion.

Calculating particular harmonic components of a Fourier series expansion.

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Scores  in 20 games and frequency given -- calculate mean.

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Scores  in 20 games and frequency given -- calculate mean.

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Differentiate the function $f(x)=(a + b x)^m  e ^ {n x}$ using the product and chain rule. Find $g(x)$ such that $f^{\prime}(x)= (a + b x)^{m-1}  e ^ {n x}g(x)$.

Calculating molecular weights.

Calculate the number of moles in a given mass of a substance given the molecular weight.

Calculating mass of a substance given molecular weight and number of moles.

Calculating the new concentration of a diluted solution.

Example of a dilution calculation involving mass concentration and molarity calculations.

Working backwards from the concentration of a diluted solution to find the concentration of "stock" solution.

Practice at a longer calculation to work out how much glucose is needed to make a solution of a given concentration.

Practice calculating number of moles of a substance given the concentration and volume of a solution.

Differentiate the function $f(x)=(a + b x)^m  e ^ {n x}$ using the product rule. Find $g(x)$ such that $f^{\prime}(x)= (a + b x)^{m-1}  e ^ {n x}g(x)$.

Differentiate $ \sin(ax+b) e ^ {nx}$.

Differentiate the function $f(x)=(a + b x)^m  e ^ {n x}$ using the product rule. Find $g(x)$ such that $f^{\prime}(x)= (a + b x)^{m-1}  e ^ {n x}g(x)$.

Another transposition question, which requires (basic) factorisation.

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An introduction to using the quotient rule