这道题怎么求啊，紧急求助
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f(t) =∫(0->t) ( sinx- (sint/t^2)x^2 dx +∫(t->π/2) ( sinx-sint) dx
= [ -cosx - (sint/t^2).(1/3)x^3] |(0->t) + [ -cosx - (sint)x ]|(t->π/2)
= ( -cost - (1/3)t.sint ) -(-1) + ( 0- (π/2)sint ) - ( -cost - tsint)
= (2/3)tsint - (π/2)sint +1
f'(t) = (2/3)(sint + tcost ) -(π/2)cost
= [ -cosx - (sint/t^2).(1/3)x^3] |(0->t) + [ -cosx - (sint)x ]|(t->π/2)
= ( -cost - (1/3)t.sint ) -(-1) + ( 0- (π/2)sint ) - ( -cost - tsint)
= (2/3)tsint - (π/2)sint +1
f'(t) = (2/3)(sint + tcost ) -(π/2)cost
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f(t)=sint - t^3sint/3t^2+cost-1-sint(π/2-t)
=2/3tsint+cost-1+(1-π/2)sint
f'(t)=2/3(sint+tcost)-sint+(1-π/2)cost
=2/3tcost-1/3sint+(1-π/2)cost
=2/3tsint+cost-1+(1-π/2)sint
f'(t)=2/3(sint+tcost)-sint+(1-π/2)cost
=2/3tcost-1/3sint+(1-π/2)cost
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