1.

Be simplifi2. If y = x2 tan-1 x, find yn​

Answer»

Answer:

ANSWER

We have,

y=tan

−1

(

X

1+x

2

−1

)

LET,x=tanθv=tan

−1

x

y=tan

−1

(

tanθ

secθ−1

)

y=tan

−1

(

sinθ

1−cosθ

)

y=tan

−1

(tan

2

θ

)=

2

θ

y=

2

tan

−1

x

dx

dy

=

2(1+x

2

)

1

.



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