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Find the Value of the Integral $\int _ { 0 } ^ { 1 } x \tan ^ { - 1 } x d x$

Question 158

Multiple Choice

Find the value of the integral $\int _ { 0 } ^ { 1 } x \tan ^ { - 1 } x d x$

A) $\frac { \pi } { 4 }$

B) $\pi - 2$
C) $\frac { \pi } { 2 }$
D) $\frac { \pi - 2 } { 2 }$
E) $\frac { \pi - 2 } { 4 }$
F) $\pi - 1$

G) $\frac { \pi - 1 } { 2 }$

H) $\frac { \pi - 1 } { 4 }$

Find the Value of the Integral ∫01xtan⁡−1xdx\int _ { 0 } ^ { 1 } x \tan ^ { - 1 } x d x∫01​xtan−1xdx

Multiple Choice

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Find the Value of the Integral $\int _ { 0 } ^ { 1 } x \tan ^ { - 1 } x d x$

Correct Answer:
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