Question

find the integral of e^x-1/x+2/√x^2-1​

Answer 1

Answer:

ANSWER

Let I=∫

(1−x)

1−x

2

e

x

(2−x

2

)

dx=∫

(1−x)

1−x

2

e

x

(1+1−x

2

)

dx

=∫e

x

(

(1−x)

1−x

2

1

+

1−x

1−x

2

)dx

Using ∫e

x

(f(x)+f

′

(x))dx=e

x

f(x)

And taking f(x)=

1−x

1−x

2

⇒f

′

(x)=

(1−x)

1−x

2

1

∴I=e

x

1−x

1+x

+C

Step-by-step explanation:

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