Find the total area enclosed by the curve y = x(x+3)(2-x), the x-axis and the line x=4

solution: 21(1/12) units

x(2x – x^{2} + 6 – 3x)

=6x – x^{3} – x^{2}

Find the total area enclosed by the curve y = x(x+3)(2-x), the x-axis and the line x=4

solution: 21(1/12) units

x(2x – x^{2} + 6 – 3x)

=6x – x^{3} – x^{2}