Question

1/(1-x)^2 dx. find the integral of this

​

Answer 1

Answer:

good morning .

but i don't know the answer because I don't know how to find integral ....

Answer 2

Property of integration

∫e

x

(f(x)+f

′

(x))dx=e

x

f(x)+c

Let f(x)=

x

1

Differentiating f

′

(x)=−

x

2

1

∴∫e

x

(

x

1

−

x

2

1

)dx=∫e

x

[

x

1

+(−

x

2

1

)]dx

=e

x

.

x

1

+c

∫e

x

(

x

1

−

x

2

1

)dx=

x

e

x

+c