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用参数方程转换为定积分
x=1+cost
y=sint
原积分=∫L(5+cost-3sint)d(1+cost)+(3sint+cost-4)dsint
=∫(0,π)2(sint)^2+2sintcost-4cost-5sint+1dt
=∫(0,π)sin2t-cos2t-4cost-5sint+2dt
=2π-10
用参数方程转换为定积分
x=1+cost
y=sint
原积分=∫L(5+cost-3sint)d(1+cost)+(3sint+cost-4)dsint
=∫(0,π)2(sint)^2+2sintcost-4cost-5sint+1dt
=∫(0,π)sin2t-cos2t-4cost-5sint+2dt
=2π-10
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