Evaluate the Integral $\int _ { 0 } ^ { 1 / 4 } y \tan ^ { - 1 } 4 y \mathrm { dy } \quad$

question 24

Multiple Choice

Evaluate the integral.
- $\int _ { 0 } ^ { 1 / 4 } y \tan ^ { - 1 } 4 y \mathrm { dy } \quad$ (Give your answer in exact form.)

• A) \(\frac { \pi } { 4 } - \frac { 1 } { 2 }\)
• B) \(\frac { \pi } { 64 } - \frac { 1 } { 32 }\)
• C) \(\frac { \pi } { 128 } - \frac { 1 } { 32 }\)
• D) \(\frac { 1 } { 64 }\)

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