∫（1-cost）^3dt怎麼积分

∫(1-cost)^3dt

=∫[1-3cost+3(cost)^2 -(cost)^3]dt

=t - 3sint +3∫(cost)^2dt - ∫(cost)^3dt

=t - 3sint +(3/2)∫(1+cos(2t) )dt - ∫[1-(sint)^2]d(sint)

=t - 3sint +(3/2)[t +sin(2t)/2] - [sint - (sint)^3/3] + C