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x tan² x dx = x tan x - 1 x2 x² + In | cos x + C

x tan² x dx = x tan x - 1 x2 x² + In | cos x + C

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 23E
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Question
100%

Use partial integration to derive that from image without deriving the right side.

Here one can consider

∫ tanx dx = ln ∣sec x∣ + C = −ln ∣cosx∣ + C

and

∫ tan2 x = tanx − x + C

as known integrals 

x tan² x dx = x tan x - 1 x2 x² + In | cos x + C
Transcribed Image Text:x tan² x dx = x tan x - 1 x2 x² + In | cos x + C
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