in Calculus
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in Calculus
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4 Comments

take e^x lnx = t

differentiate wrt to t

you get

 ( e^x lnx + e^x . 1/x ) dx = dt

now substitute
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integration of the form ex[(f(x) + f'(x)] =exf(x) + c

so D
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D)

simple derivative of it will give ans
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1 Answer

1 vote
1 vote
D.

Using $\int e^x ( f(x) + f'(x) ) = e^xf(x) + c$

Here take $e^x$ common. Let f(x) = ln x, then f'(x)= 1/x
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