Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 0 , y = cos ( 5 x ) , x = π 10 , x = 0 about the axis y = − 3

Answer 1

v = π∫₀^π/10[cos(5x) + 3)² - 3²]dx = π∫₀^π/10{cos²(5x) + 6cos(5x)}dx = π[ x/2 + sin(10x)/20 + 6sin(5x)/5]₀^π/10_{= π(π/20 + 6/5)}