Help me this problem of integral trigonometric for substitution please,find the volume of solid for rotation of region delimited for curves y=senx,y=0 and #pi/2<=x<=pi# about x axis ?
#pi/2<=x<=pi#
1 Answer
Explanation:
.
The graph below shows this area:
If we revolve this area around the
If you can imagine this solid being divided into vertical slices parallel to the
The circles have a radius
So, because the formula for the area of a circle is
Now if we take the integral of this function and evaluate it between
This is because the integral adds the areas of infinite number of discs between the two limits together.
Let
Let's substitute:
Let's plug this in: