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What is the integral `int_(1)^4 3x^2 + e^x + x + 1 dx`

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xetabeta | Student, Kindergarten | (Level 1) Salutatorian

Posted July 21, 2012 at 4:30 PM via web

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What is the integral `int_(1)^4 3x^2 + e^x + x + 1 dx`

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted July 21, 2012 at 4:37 PM (Answer #1)

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The integral `int_(1)^4 3x^2 + e^x + x + 1 dx` has to be determined.

`int_(1)^4 3x^2 + e^x + x + 1 dx`

=> `(3x^3/3 + e^x + x^2/2 + x)|_(1)^4`

=> `(4^3 - 1^3) + e^4 - e^1 + (4^2 - 1)/2 + (4 - 1)`

=> `63 + e^4 - e + 15/2 + 3`

=> `73.3 + e^4 - e`

The integral `int_(1)^4 3x^2 + e^x + x + 1 dx = 73.5 + e^4 - e`

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