怎么做,求数学大神
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∫x^2*2^xdx
u=x^2
du=2xdx
dv=2^xdx
v=2^x/ln2
∫x^2*2^xdx
=x^2*2^x/ln2-∫2^x/ln2*2xdx
=x^2*2^x/ln2-2/ln2∫x*2^xdx
对于∫x*2^xdx
u=x
du=dx
dv=2^xdx
v=2^x/ln2
∫x^2^xdx
=x*2^x/ln2-∫2^x/ln2dx
=x*2^x/ln2-1/ln2*2^x/ln2
=x*2^x/ln2-(1/ln2)^2*2^x
∫x^2*2^xdx
=x^2*2^x/ln2-2/ln2[x*2^x/ln2-(1/ln2)^2*2^x]
=2^x/ln2[x^2-2x/ln2+2/(ln2)^2]
u=x^2
du=2xdx
dv=2^xdx
v=2^x/ln2
∫x^2*2^xdx
=x^2*2^x/ln2-∫2^x/ln2*2xdx
=x^2*2^x/ln2-2/ln2∫x*2^xdx
对于∫x*2^xdx
u=x
du=dx
dv=2^xdx
v=2^x/ln2
∫x^2^xdx
=x*2^x/ln2-∫2^x/ln2dx
=x*2^x/ln2-1/ln2*2^x/ln2
=x*2^x/ln2-(1/ln2)^2*2^x
∫x^2*2^xdx
=x^2*2^x/ln2-2/ln2[x*2^x/ln2-(1/ln2)^2*2^x]
=2^x/ln2[x^2-2x/ln2+2/(ln2)^2]
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