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Definite Integration
Hard
Question
Let f(x) be a function satisfying f′(x) = f(x) with f(0) = 1 and g be the function satisfying f(x) + g(x) = x
2
. The value of the integral
f(x) g(x) dx is -
Options
A.
e -
e
2
-
B.
e - e
2
- 3
C.
(e - 3)
D.
e -
e
2
-
Solution
-
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Topic:
Definite Integration
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