Paragraph: The area bounded by the parabola y^2=k x and the line x=k , where k>0 , is 4 3 square units. Question: What is the area of the parabola bounded by the latus rectum?

Step-by-step solution

So equation of parabola is y ^2= x ( k =1)4 a=1, a= 1 4 Area of parabola y ^2= x and latus rectum at x = 1 4 is =2 ₀^ 1 4 x dx =2 2 3 ( 1 4 )^ 3 2 = 4 3 1 8 = 1 6 sq. units