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The integral I=int[xe^(x^(2))(sinx^(2)+c...

The integral `I=int[xe^(x^(2))(sinx^(2)+cosx^(2))]dx =f(x)+c`, (where, c is the constant of integration). Then, f(x) can be

A

`e^(x)sin(x^(2))`

B

`e^(x^(2))sin(x)`

C

`e^(x^(2))((x^(2))/(2))`

D

`(1)/(2)e^(x^(2))sin(x^(2))`

Text Solution

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The correct Answer is:
D
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