1.

Evaluate \(\rm \int (x-2)(x-3)dx\)1. \(\rm \frac{x^3}{3} - \frac{5x^2}{2}+6x +c\)2. \(\rm \frac{x^3}{3} + \frac{5x^2}{2}+6x +c\)3. \(\rm \frac{x^2}{3} + \frac{5x^2}{2}-6x +c\)4. None of the above

Answer» Correct Answer - Option 1 : \(\rm \frac{x^3}{3} - \frac{5x^2}{2}+6x +c\)

Concept:

\(\rm \int x^n dx = \frac{x^{n+1}}{n+1}+c\)

Calculation:

I = \(\rm \int (x-2)(x-3)dx\)

\(\rm \int (x^2-2x - 3x + 6)dx\)

\(\rm \int (x^2-5x + 6)dx\)

\(\rm \frac{x^3}{3} - \frac{5x^2}{2}+6x +c\)



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