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Evaluate integral `int_(1)^3 6x^(-3) - 2 dx`

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jjmgingrich | Student, Undergraduate | (Level 1) Salutatorian

Posted July 20, 2012 at 4:24 AM via web

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Evaluate integral `int_(1)^3 6x^(-3) - 2 dx`

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted July 20, 2012 at 4:37 AM (Answer #1)

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Integral `int_(1)^3 6x^(-3) - 2 dx` has to be evaluated.

`int_(1)^3 6x^(-3) - 2 dx`

=> `(6*x^(-2)/(-2) - 2x)_(1)^3`

=> `-3*(3^(-2) - 1) - 2(3 - 1)`

=> `-3(1/9 - 1) - 4`

=> `8/3 - 4`

=> `-4/3`

The integral `int_(1)^3 6x^(-3) - 2 dx = -4/3`

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