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

question 48

Multiple Choice

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

• A) \(\frac { 1 } { 8 } \tan ^ { 8 } x \sec ^ { 2 } x + C\)
• B) \(\frac { 1 } { 8 } \tan ^ { 8 } x \sec ^ { 3 } x + C\)
• C) \(\frac { 1 } { 24 } \tan ^ { 8 } x \sec ^ { 3 } x + C\)
• D) \(\frac { 1 } { 8 } \tan ^ { 8 } x + C\)

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