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find the integral x(4x + 11)^2 dx  = ____________ + c

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maheen100 | Student, Undergraduate | (Level 1) Honors

Posted February 9, 2013 at 10:18 PM via web

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find the integral x(4x + 11)^2 dx  = ____________ + c

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jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted February 10, 2013 at 2:28 AM (Answer #1)

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`intx(4x+11)^2dx`

`= intx(16x^2+88x+121)dx`

`= int(16x^3+88x^2+121x)dx`

`= (16x^4)/4+(88x^3)/3+(121x^2)/2+C`

`= 4x^4+(88x^3)/3+(121x^2)/2+C`

 

So the answer is;

`= 4x^4+(88x^3)/3+(121x^2)/2+C`

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