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`inte^x(logx=1/x)dx` का मान ज्ञात कीजिए ।

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`inte^x(logx=1/x)dx` का मान ज्ञात कीजिए ।
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`inte^x(logx+1/x)dx=inte_(II)^xunderset(I)(log)xdx+inte^x.1/xdx`
`=logx int e^xdx-int{d/(dx)(logx)inte^xdx}dx+inte^x.1/xdx`
`=logxe^x-int1/xe^xdx+int1/xe^xdx`
`=e^xlogx`
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