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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: maths
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tamaldas (0)

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Integration of x^x dx

tamal das
    
phyana (265)

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put x^x=t

x.logx = log t
now differentiate
and proceed u will get the answer
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nick (452)

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x^x=t

xlogx=logt

diff. both sides wrt to x
and using product rule in lhs

x.1/x +logx= 1/t dt/dx

subst. t
we have

d x^x/dt= x^x(1+logx)

rhs is the ans....

IIT- Imposible Is This(atleast fr meeeeeeeee)
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