- 534 名前：１３２人目の素数さん mailto:sage [2012/02/08(水) 23:54:54.19 ]
- >>514
>>518 に習って
∫[0,π/2] f(t) sin(t) dt = C,
とおくと、
f(x) = ax + (1/4)C^4,
∫[0,π/2] f(t) sin(t) dt = a + (1/4)C^4,
∴ 0 = a + (1/4)C^4 - C = a -(3/4) + (1/4)(C-1)^2･(C^2 +2C +3),
∴ a = 3/4
∫[0,π/2] sin(t) dt = [ -cos(t) ] = 1,
∫[0,π/2] t sin(t) dt = [ sin(t) -t･cos(t) ] = 1,
