Mathematics · Definite Integration
The value of the definite integral loge2 ∫-loge2loge2 ex loge(ex + √(1 + e2x)) dx is equal to:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1loge((2(2 + √5)) / √(1 + √5)) - √5 / 2
- 2loge((√2(3 - √5)2) / √(1 + √5)) + √5 / 2
- 3loge((2 + √5)2 / √(1 + √5)) + √5 / 2
- 4loge((√2(2 + √5)2) / √(1 + √5)) - √5 / 2✓
Correct answer
loge((√2(2 + √5)2) / √(1 + √5)) - √5 / 2
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