99 Percentile Qs Bank for JEE MainMathematicsDefinite Integration

The value of _ / 4 ^ / 2 e^ x ( x+ x) d x is

Options

Ae^ / 4 2
B-e^ / 4 2
C1 2 e^ / 4 2
D- 1 2 e^ / 4 2

Correct answer

C. 1 2 e^ / 4 2

Step-by-step solution

Let array rl I= _ / 4 ^ / 2 e^ x ( x & + x) d x I= _ / 4 ^ / 2 e^ x x & d x + _ / 4 ^ / 2 e^ x x d x = _ / 4 ^ / 2 e^ x x d x+ [e^ x x ]_ / 4 ^ / 2 - _ / 4 ^ / 2 e^ x x d x = & e^ / 2 2 -e^ / 4 4 = & -e^ / 4 ( 1 2 ) = & 1 2 e^ / 4 2 array

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