Question

integration of x/(x^2+1) (x-1)​

Answer 1

Answer:

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

solution

Step-by-step explanation:

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