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Find $\displaystyle I=\int \frac{2 a x + b} {a x ^ 2 + b x + c}\;dx$ by substitution or otherwise.

Integration by Substitution

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Basic indefinite integrals, Basic definite integrals, integration by substitution

rebel

rebelmaths

Basic indefinite integrals, Basic definite integrals, integration by substitution

rebel

rebelmaths

Integration by Substitution

rebelmaths

rebel

Integration by Substitution

rebelmaths

rebel

5 questions on indefinite integration. Includes integration by parts and integration by substitution.

5 questions on indefinite integration. Includes integration by parts and integration by substitution.

Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

This is a set of questions designed to help you practice adding, subtracting, multiplying and dividing fractions.

All of these can be done without a calculator.

A sneak peek at a really clever integration of GeoGebra with Numbas.

Ratio Questions

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Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

Use integration to find the volume of revolution of a function to estimate the volume of a mountain.

A test of basic concepts to do with SI units and concentrations of solutions.

Write down the Newton-Raphson formula for finding a numerical solution to the equation $e^{mx}+bx-a=0$. If $x_0=1$ find $x_1$.

Included in the Advice of this question are:

6 iterations of the method.

Graph of the NR process using jsxgraph. Also user interaction allowing change of starting value and its effect on the process.

Perform basic operations with 2x2 matrices - addition, subtraction, multiplication by scalar, matrix multiplication, determinant, transpose

This question is application of integration in geology using the concept of summation.

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

Integration by susbtitution, no hint given

Integration by Substitution

rebelmaths

rebel

Basic indefinite integrals, Basic definite integrals, integration by substitution

rebel

rebelmaths

Integration by susbtitution, no hint given

Basic indefinite integrals, Basic definite integrals, integration by substitution

rebel

rebelmaths

Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

Integration by Substitution

rebelmaths

rebel

Basic indefinite integrals, Basic definite integrals, integration by substitution

rebel

rebelmaths