Question

(1) Evalute the
following indefinite inte
${x \tan( { - 1x}^{?} ) }^{2}$
​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Let

t=x+tan

−1

x

⇒dt=(1+

1+x

2

1

)dx=

1+x

2

x

2

+2

dx

∫5

x+tan

−1

x

(

1+x

2

x

2

+2

)dx

=∫5

t

dt

Let u=5

t

⇒du=5

t

log5dt

=

log5

1

∫du

=

log5

1

u+c

=

log5

1

5

t

+c where u=5

t

=

log5

5

x+tan

−1

x

+c where t=x+tan

−1

x