Determine the area under the curve included between the lines x = 0 and x = a
The above equation is of a circle having centre as (0, 0) and radius a
Now in and
which means x and y both positive or x negative and y positive hence the curve
has to be above X -axis in
and
quadrant
x=0 is equation of Y -axis and x=a is a line parallel to Y-axis passing through (a, 0)
So we have to integrate from 0 to a
So we have to integrate from 0 to a
let us find area under curve
Integrate from 0 to a
Using uv rule of integration where u and v are functions of
Here and v=1
Hence