Use Geometry to Compute the Given Integral $\int _ { - \frac { \pi } { 6 } } ^ { \frac { \pi } { 6 } } 2 \sin x d x$

question 8

Multiple Choice

Use geometry to compute the given integral. $\int _ { - \frac { \pi } { 6 } } ^ { \frac { \pi } { 6 } } 2 \sin x d x$

• A) \(\int _ { - \frac { \pi } { 6 } } ^ { \frac { \pi } { 6 } } 2 \sin x d x = 6\)
• B) \(\int _ { - \frac { \pi } { 6 } } ^ { \frac { \pi } { 6 } } 2 \sin x \mathrm {~d} x = - 4\)
• C) \(\int _ { - \frac { \pi } { 6 } } ^ { \frac { \pi } { 6 } } 2 \sin x d x = 0\)
• D) \(\int _ { - \frac { \pi } { 6 } } ^ { \frac { \pi } { 6 } } 2 \sin x d x = 8\)
• E) none of these

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