Question

Integration of [sec²(2tan^-1(x))]/(1+x²)​

Answer 1

Answer:

hygrometer

Step-by-step explanation:

hygrometer

Answer 2

Answer:

ANSWER

I=∫

1+x

2

sec

2

(2tan

−1

x)

dx

Let 2tan

−1

x=t. Then,

d(2tan

−1

x)=dt

1+x

2

2

dx=dt

dx=

2

1+x

2

dt

Putting 2tan

−1

x=t and dx=

2

1+x

2

dt, we get,

I=∫

1+x

2

sec

2

t

×

2

1+x

2

dt

I=

2

1

∫sec

2

t dt

I=

2

1

tant+C

I=

2

1

tan(2tan

−1

x)+C

Step-by-step explanation:

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