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Find the Integral Using the Indicated Substitution tan2xsec2xdx,u=tanx\int \tan ^ { 2 } x \sec ^ { 2 } x d x , \quad u = \tan x

Question 48

Multiple Choice

Find the integral using the indicated substitution.
tan2xsec2xdx,u=tanx\int \tan ^ { 2 } x \sec ^ { 2 } x d x , \quad u = \tan x
Select the correct answer.


A) 18tan8xsec2x+C\frac { 1 } { 8 } \tan ^ { 8 } x \sec ^ { 2 } x + C
B) 18tan8xsec3x+C\frac { 1 } { 8 } \tan ^ { 8 } x \sec ^ { 3 } x + C
C) 124tan8xsec3x+C\frac { 1 } { 24 } \tan ^ { 8 } x \sec ^ { 3 } x + C
D) 18tan8x+C\frac { 1 } { 8 } \tan ^ { 8 } x + C

Correct Answer:

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