Saved Bookmarks
| 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 = \(\rm \int (x-2)(x-3)dx\) = \(\rm \int (x^2-2x - 3x + 6)dx\) = \(\rm \int (x^2-5x + 6)dx\) = \(\rm \frac{x^3}{3} - \frac{5x^2}{2}+6x +c\) |
|