Calculating the integral of a function of the form $\frac{n}{(x+a)(x+b)(x+c)}$ using partial fractions.

Calculating the integral of a function of the form $\frac{n}{(x+a)(x+b)^2}$ using partial fractions.

Calculating the integral of a function of the form $\frac{nx+k}{(x+a)(x+b)(x+c)}$ using partial fractions.

Calculating the integral of a function of the form $\frac{nx+k}{(x+a)(x+b)^2}$ using partial fractions.

Calculating the integral of a function of the form $\frac{mx^2+nx+k}{(x+a)(x+b)(x+c)}$ using partial fractions.

Calculating the integral of a function of the form $\frac{mx^2+nx+k}{(x+a)(x+b)^2}$ using partial fractions.

Calculating the integral of a function of the form $e^{ax} \cos(x)$ using integration by parts.

Calculating the integral of a function of the form $\ln(ax)$ using integration by parts.

Calculating the integral of a function of the form $ax^2 e^{bx}$ using integration by parts.

Calculating the integral of a function of the form $ax^2 \cos(bx)$ using integration by parts.

Calculating the integral of a function of the form $x^n \ln(ax)$ using integration by parts.

Calculating the integral of a function of the form $(a+bx)\cos(x)$ using integration by parts.

Calculating the integral of a function of the form $ax e^{bx}$ using integration by parts.

Calculating the integral of a function of the form $ax \cos(bx)$ using integration by parts.

Calculating the integral of a function of the form $ax \sin(bx)$ using integration by parts.

Calculating the area enclosed between a cosine function and a quadratic function by integration. The limits (points of intersection) are given in the question.

Calculating the definite integral $\int_{n_1}^{n_2}a \sin(bx) dx$, where $n_1$ and $n_2$ are multiples of $\frac{\pi}{12}$.

Calculating the definite integral $\int_{n_1}^{n_2}a \sin(bx) dx$, where $n_1$ and $n_2$ are multiples of $\frac{\pi}{12}$.

Calculating the definite integral $\int_{n_1}^{n_2}a_1x^{b_1}+a_2x^{b_2}+a_3x^{b_3} dx$.

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Complementary function/particular integral for forced simple harmonic motion (non-resonant)

Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

5 questions on definite integrals - integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.

This is a formative assessment and your score is not recorded. This tests assess integration by substitution. You should be able to use the appropriate substution and then use the integral table.

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