∫上a下-a(xcosx-5sinx+2)dx的值

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∫上a下-a(xcosx-5sinx+2)dx的值∫上a下-a(xcosx-5sinx+2)dx的值∫上a下-a(xcosx-5sinx+2)dx的值∫(xcosx-5sinx+2)dx=∫xcosx

∫上a下-a(xcosx-5sinx+2)dx的值
∫上a下-a(xcosx-5sinx+2)dx的值

∫上a下-a(xcosx-5sinx+2)dx的值
∫(xcosx-5sinx+2)dx
=∫xcosxdx-5∫sinxdx+2x+C
=∫xd(sinx)+5cosx+2x+C
=x*sinx-∫sinxdx+5cosx+2x+C
=xsinx+cosx+5cosx+2x+C
=xsinx+6cosx+2x+C
代入上下限得,
∫(xcosx-5sinx+2)dx=4a