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Integration Higher Mathematics www.maths4scotland.co.uk Next.

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Presentation on theme: "Integration Higher Mathematics www.maths4scotland.co.uk Next."— Presentation transcript:

1

2 Integration Higher Mathematics www.maths4scotland.co.uk Next

3 Calculus Revision Back Next Quit Integrate Integrate term by term simplify

4 Calculus Revision Back Next Quit Find

5 Calculus Revision Back Next Quit Integrate Multiply out brackets Integrate term by term simplify

6 Calculus Revision Back Next Quit Find

7 Calculus Revision Back Next Quit Integrate Standard Integral (from Chain Rule)

8 Calculus Revision Back Next Quit Find p, given

9 Calculus Revision Back Next Quit Evaluate Straight line form

10 Calculus Revision Back Next Quit Find Use standard Integral (from chain rule)

11 Calculus Revision Back Next Quit Find Integrate term by term

12 Calculus Revision Back Next Quit Integrate Straight line form

13 Calculus Revision Back Next Quit Integrate Straight line form

14 Calculus Revision Back Next Quit Integrate Straight line form

15 Calculus Revision Back Next Quit Integrate Split into separate fractions

16 Calculus Revision Back Next Quit Find Use standard Integral (from chain rule)

17 Calculus Revision Back Next Quit Find

18 Calculus Revision Back Next Quit Find

19 Calculus Revision Back Next Quit Integrate Straight line form

20 Calculus Revision Back Next Quit Given the acceleration a is: If it starts at rest, find an expression for the velocity v where Starts at rest, so v = 0, when t = 0

21 Calculus Revision Back Next Quit A curve for which passes through the point Find y in terms of x. Use the point

22 Calculus Revision Back Next Quit Integrate Split into separate fractions Multiply out brackets

23 Calculus Revision Back Next Quit If passes through the point express y in terms of x. Use the point

24 Calculus Revision Back Next Quit Integrate Straight line form

25 Calculus Revision Back Next Quit The graph of passes through the point (1, 2). express y in terms of x. If simplify Use the point Evaluate c

26 Calculus Revision Back Next Quit Integrate Straight line form

27 Calculus Revision Back Next Quit A curve for which passes through the point (–1, 2). Express y in terms of x. Use the point

28 Calculus Revision Back Next Quit Evaluate Cannot use standard integral So multiply out

29 Calculus Revision Back Next Quit Evaluate Straight line form

30 Calculus Revision Back Next Quit Evaluate Use standard Integral (from chain rule)

31 Calculus Revision Back Next Quit The curve passes through the point Find f(x ) use the given point

32 Calculus Revision Back Next Quit Integrate Integrate term by term

33 Calculus Revision Back Next Quit Integrate Integrate term by term

34 Calculus Revision Back Next Quit Evaluate

35 Quit C P D www.maths4scotland.co.uk © CPD 2004

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