Evaluate the following integrals : int(2...

Evaluate the following integrals : `int(2-3x)(3+2x)(1-2x)dx`

Text Solution

Verified by Experts

I=`int(2-3x)(3+2x)(1-2x)dx`
I=`int(6+4x−9x−6x^2)(1-2x)dx`
=`int(6-5x−6x^2)(1-2x)dx`
=`int (6(1−2x)−5x(1−2x)−6x^2(1−2x))dx`
=`int (12x^3+4x^2−17x+6)dx`
=`(12x^4)/4+(4x^3)/3-(17x^2)/2+6x+c`
=`3x^4+(4x^3)/3-(17x^2)/2+6x+c`

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