Find the area bounded under the curve `y=3x^2+6x+7` X-axis with the ordinates at x=5 and x=10.

Answer

1135sq. units

Explanation

Given, `y=3x^2+6x+7` Area bounded by the curve x axis with coordiN/Ate x=5 and x=10` is given by Area =int^(x_2)_(x_1) y dx , int(^10_5(3^2+6x+7)dx, =[(3x^3)/3+(6x^2)/2+7x]^10_5
=1000-125+300-75+70-35
=1370-235
=1135sq. units.