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9.29. If u and v are two function of x thenHence evaluatex log x dx. |
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Answer» ∫x logx dx Consider u = logx and v = x ∫x logx dx = logx ∫ x dx -(∫d(logx)/dx∫x dx)dx = x²logx/2 - ∫ 1/x × x²/2 dx = (x²logx)/2 - ∫x/2 = (x²logx)/2 - x²/4 + c |
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