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in Mathematics by (49.4k points)

The value of the integral ∫1-1 loge(√1-x + √1+x)dx is equal to :

(1) 1/2 loge2 + π/4 - 3/2

(2) 2 loge2 + π/4 - 1

(3) loge2 + π/2 - 1

(4) 2 loge2 + π/2 - 1/2

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