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Protonic acid is

A protonic acid is a compound that forms solvated hydrogen ion in polar solvent.

If x+1x=3 then, x7+1×7=?

Given: x+1/x=3 To find: x<sup>7</sup>+1/x<sup>7</sup> Solution: x+1/x=3 = x<sup>2</sup>+1/x<sup>2</sup> = (x+1/x)<sup>2</sup>-2x(1/x) = 3<sup>2</sup>-2 = 9-2 = 7 x<sup>3</sup>+1/x<sup>3</sup> = (x+1/x)<sup>3</sup>-3x(1/x)(x+1/x)... View Article

Integration of xlogx

∫x logx dx = ∫(logx)x dx = logx∫x dx-∫(d(logx)/dx∫x.dx)dx =logx(x<sup>2</sup>/2)-∫1/x.x<sup>2</sup>/2.dx =x<sup>2</sup>/x log x -1/2∫x.dx =x<sup>2</sup>/2logx – 1/2.x<sup>2</sup>/2+C =x<sup>2</sup>/2logx-x<sup>2</sup>/4+C