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Calculus, 2ADV C4 2018 HSC 11e

Evaluate  `int_0^3 e^(5x)\ dx`.  (2 marks)

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`1/5(e^15 – 1)`

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`int_0^3 e^(5x)\ dx` `= [1/5 e^(5x)]_0^3`
  `= 1/5 e^15 – 1/5 e^0`
  `= 1/5(e^15 – 1)`

Filed Under: Exponential Calculus, Exponential Calculus (Y12), L&E Integration Tagged With: Band 3, smc-1203-20-Exponential (Definite), smc-965-40-Definite Integrals

Calculus, 2ADV C4 2004 HSC 3bi

Evaluate  `int_1^2 e^(3x)\ dx`.   (2 marks)

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`1/3 (e^6 – e^3)`

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  `int_1^2 e^(3x)\ dx` `= 1/3 [e^(3x)]_1^2`
    `= 1/3 (e^6 – e^3)`

Filed Under: Exponential Calculus, Exponential Calculus (Y12), L&E Integration, Log Calculus Tagged With: Band 3, smc-1203-20-Exponential (Definite), smc-965-40-Definite Integrals

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