Evaluate the Integral $\int _ { 0 } ^ { 1 / 7 } y \tan ^ { - 1 } 7 y$

question 122

Multiple Choice

Evaluate the integral.
- $\int _ { 0 } ^ { 1 / 7 } y \tan ^ { - 1 } 7 y$ dy $\quad$ (Give your answer in exact form.)

• A) \(\frac { \pi } { 196 } - \frac { 1 } { 98 }\)
• B) \(\frac { 1 } { 196 }\)
• C) \(\frac { \pi } { 392 } - \frac { 1 } { 98 }\)
• D) \(\frac { \pi } { 4 } - \frac { 1 } { 2 }\)

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