Mathematics · Integration
Let α ∈ (0, π/2) be fixed. If the integral ∫ tan x + tan αtan x - tan α dx = A(x) cos 2α + B(x) sin 2α + c, where c is a constant of integration, then the functions A(x) and B(x) are respectively:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1x + α and log|sin(x - α)|
- 2x - α and log|cos(x - α)|
- 3x - α and log|sin(x - α)|✓
- 4x + α and log|sin(x + α)|
Correct answer
x - α and log|sin(x - α)|
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