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 ▸Question 3 on the OCR MEI C1 June 2015 paper. Evaluate the following. (i) 200^0 (ii) (9/25)^(-1/2)
Integrate ln(x) by parts then differentiate to prove the result is correct
How to do Integration by Parts?
A curve has the equation y=3 + x^2 -2x^3. Find the two stationary points of this curve.