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JEE Advanced Model Paper 10 with solutions for online practice

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Question : 42 of 54
 
Marks: +1, -0
Let the differentiable function f(x) be defined such that f(0) = 1 and f'(x) = f(x) and g(x) be another differentiablefunction satisfying f(x) + g(x) = x2 , then the value of
1
∫
0
 f(x) . g(x) dx is equal to
Validate
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