Given y =( 2x+1 )^0.5 and limits x = 0 , x = 1.5 , find the exact volume of the solid generated when a full rotation about the x-axis .
Using V = pi* integral of y2 between b and a with respect to x , where V is the volume of generated solid.y2 = 2x + 1 Integrating between given limits yields a result of 3.75Multiplying through by pi leaves the final result as 3.75 pi as an exact solution .
DS
Related Maths A Level answers
All answers ▸Find the gradient of the curve y=sin(x^2) + e^(x) at the point x= sqrt(pi)
How do I calculate the rate of change of something for which I don't have an equation?
The gradient of the curve at point (x,y) is given by dy/dx = [7 sqrt(x^5)] -4. where x>0. Find the equation of the curve given that the curve passes through the point 1,3.
Find the turning point(s) of the following function f(x) = x^2-2x+4. Determine whether the turning point is a minimum or maximum.