Mathematics · Integration
Let I(x) = ∫ x2(x sec2 x + tan x)(x tan x + 1)2 dx. If I(0) = 0, then I(π4) is equal to:
- 1loge |π + 44√2| + π216(π + 4)
- 2loge |π + 44√2| − π216(π + 4)✓
- 3loge |π + 44| + π216(π + 4)
- 4loge |π + 44| − π216(π + 4)
Correct answer
loge |π + 44√2| − π216(π + 4)
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