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Calculus CALCULUS Ideas from C3 you may need to know: –differentiation: the product rule –the quotient rule (in formula book) –chain rule, e.g. differentiate –implicit differentiation –integration: by substitution –by parts (in formula book)

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Calculus Differentiation and integration of trig functions, including powers of sine and cosine: Not in the formula book

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Calculus Differentiation of inverse trig functions Formula Book:

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Calculus Integration using inverse trig functions Formula Book: Use a big algebra stick to batter your function into one of these standard forms

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Calculus Examples

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Calculus

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Don’t forget to use radians if there are limits Sometimes you might have to use a nasty trig substitution. You might have to complete the square before substituting Don’t forget integration by parts, e.g. how would you integrate arctan x?

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More examples Evaluate a) b) a) b)

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More examples Evaluate c) c) In these cases we use integration by substitution.

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More examples Evaluate d) c) In these cases we use integration by substitution.

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Example Find Integrals of the form or Rearranging the denominator so we have something +1 gives let x – 1 = u

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Example Find More examples

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