EDEXCEL A-LEVEL PURE MATHS (13): INTEGRATION

What is Integration?

- Opposite of differentiation.

- Used to calculate areas of surfaces, volumes of irregular shapes and areas under curves for mechanics.

- Can be used to calculate areas under velocity-time graphs to find distance travelled.

What is the purpose of the constant of integration?

What are examples of integrating mononomials?

What are examples of integrating polynomials?

What is indefinite integration?

What are examples of indefinite integration?

What are more examples of indefinite integration?

How can you find the constant of integration when given a point?

What is an example of finding the constant of integration when given a point?

What is a definite integral?

What are the three stages to working out a definite integral?

What is an examlpe of working out definite integrals?

What is a more complex examlpe of working out definite integrals?

How can the relationship between the x-axis and a positive curve be described through?

How can you find the area of a finite region between a curve, with a given equation, and the x-axis?

How do you find the area under the x-axis?

When the area bounded by a curve and the x-axis is below the x-axis, ∫y dx gives a negative answer.

What is an example of finding an area of finite region bounded by a curve, with a given equation, and the x-axis?

What is another example of finding an area of finite region bounded by a curve, with a given equation, and the x-axis?

How can you find more complicated areas on graphs?

What is another example of finding more complicated areas on graphs?

EDEXCEL A-LEVEL PURE MATHS CHAPTER THIRTEEN: INTEGRATION

(MAKE SURE YOU KNOW THE FOLLOWING)