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what is the integration and differenation of (x^x)?

what is the integration and differenation of (x^x)?

Grade:12th pass

1 Answers

Harsh Patodia IIT Roorkee
askIITians Faculty 907 Points
8 years ago
We cannot integrate this
For differentiation of xx,

Let xx= y
Take log on both sides
xlogx = logy
Differentiate both sides wrt to x
x * 1/x + logx = 1/y * dy/dx
y(1 + logx) =dy/dx
dy/dx= xx(1 + logx) ( Substituting Y back)

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