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 Evaluate the integral 0π/2187cosθdθ\text { Evaluate the integral } \int _ { 0 } ^ { \pi / 2 } \frac { 1 } { 8 - 7 \cos \theta } d \theta \text {. }

Question 3

Multiple Choice

 Evaluate the integral 0π/2187cosθdθ\text { Evaluate the integral } \int _ { 0 } ^ { \pi / 2 } \frac { 1 } { 8 - 7 \cos \theta } d \theta \text {. }


A) 2arcsin152 \arcsin 15
B) 215arctan15\frac { 2 } { \sqrt { 15 } } \arctan \sqrt { 15 }
C) 115arcsin15\frac { 1 } { \sqrt { 15 } } \arcsin 15
D) 15arctan1515 \arctan 15
E) 15arcsin1515 \arcsin \sqrt { 15 }

Correct Answer:

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