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The value of `int_(2pi)^(0) min{|x-pi|, cos^(-1)(cosx)} dx` is -A. `(pi^(2))/(4)`B. `(pi^(2))/(2)`C. `(pi^(2))/(8)`D. `pi^(2)` |
Answer» Correct Answer - B `I=underset(pi//2)overset(0)intxdx + underset(pi//2)overset(pi)(int)(pi-x)dx + underset(pi)overset(3pi//2)(int)(x-pi)dx+underset(3pi//2)overset(2pi)int2pi - xdx` `(pi^(2))/(8)+(pi^(2))/(8)+(pi^(2))/(8)+(pi^(2))/(8)=(pi^(2))/(2)` |
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