Find the area bounded under the curve y = 3x2 + 6x + 7 and the X-axis with the ordinates at x = 5 and x = 10.

Question

Philoid · Accepted Answer

let us consider a point P (x, y) on the curve between x=5 and x=10.

Imagine a very small increment dx, next to x. Now the area of the small strip is

Dividing the whole area into strips of thickness dx, total area will be the integration of all areas between x=5 and x=10.

Hence,

{between limits x=5 and x=10, C is a constant of integration}

→