integrate

find ∫ x2 lnx1-x2 dx
lower limit =0 and upper limit = 1

3 Answers

1
Shriya ·

put x= sin θ

1
Shriya ·

you will get ,

x= sin a
so dx = cos a da
so i= sin2a ln (sin a ) da

write sin2a=(1- cos 2a)/2 and split both the terms solve them individually by parts .......i have given a hint (rather half of the solution) now proceed

1
Grandmaster ·

ya, put x=sin θ,

now
I=∫sin2θ ln(sinθ) dθ......which can be solved by considering sinθ=u and ln(sinθ) =v [1][1][1][1][1]

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