Question

find the L.cimofp with the help of the x_x²-x+1, 22" +7 7n .​

Answer 1

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