engineering recuitment GATE CE 2023-24 Test Series Engineering Mathematics Calculus Definite Integrals
A parametric curve defined by \(x = \cos \left( {\frac{{\pi u}}{2}} \right),y = \sin \left( {\frac{{\pi u}}{2}} \right)\)in the range of 0 ≤ u ≤ 1 is rotated about the X – axis by 360 degrees. Area of the surface generated is
1
\(\frac{\pi }{2}\)
2
π
3
2π
4
4π