JAMB 1995 · UME · Q41

Calculus (JAMB bridge)

Find the area bounded by the curve $y = 3x^2 - 2x + 1$ , the ordinates $x = 1$ and $x = 3$ , and the $x$ -axis.

Worked solution (try it first)

The area is $\int_1^3 (3x^2 - 2x + 1)\,dx = \left[x^3 - x^2 + x\right]_1^3$ .
At $x = 3$ : $27 - 9 + 3 = 21$ .
At $x = 1$ : $1 - 1 + 1 = 1$ .
Subtract: $21 - 1 = 20$ , option D.

Report a problem with this question