Question

Integral e^x (1-x)^2/(1+x^2)^2

Answer 1

Answer:

Property of integration

∫ex(f(x)+f′(x))dx=exf(x)+c

Let f(x)=x1

Differentiating f′(x)=−x21

∴∫ex(x1−x21)dx=∫ex[x1+(−x21)]dx

=ex.x1+c

∫ex(x1−x21)dx=xex+c

Step-by-step explanation:

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