8. The value of x . e
x dx is
(a) x ex
- x + c (b) - x ex + x + c (c) x e-x + x + c (d) x ex + x + c
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Answer:
I=∫(x−1)e
−x
=∫xe
−x
dx−∫e
−x
dx
=−xe
−x
−∫1.(−)e
−x
dx−∫e
−x
dx+c
=−xe
−x
+∫e
−x
dx−∫e
x
dx+c
=−xe
−x
+c
Step-by-step explanation:
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