Do you notice any patterns? X -1 ? Why can’t we integrate.

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Presentation transcript:

Do you notice any patterns? X -1 ? Why can’t we integrate

We’ve already seen: ∫ax n dx = ax n+1 + c n+1 n ≠ -1

Objectives: To introduce Natural Logarithms and e x To recognise properties of exponential and natural log graphs To begin to understand the integral of 1/x

Do you notice any patterns?

Link to autograph Graphs of exponentials GDC

Graph of y = ln x (natural logarithm, log base e)

Activity Match the graphs with the functions

a y Remember y=a x x=log a y If y=e x then x=log e y or x=ln y e.g. e ln3 = ?

Activity Worksheet A Question 1 using GDC Q2-5 without GDC

plenary

Link to excel