Evaluate the integral.
$\int _ { \pi / 6 } ^ { \pi / 2 } \sin t d t$
Select the correct answer.
A) $ 1.666$
B) $0.866$
C) $1.866$
D) $1.366$
E) $- 0.134$

Name: Evaluate the integral. $\int _ { \pi / 6 } ^ { \pi / 2 } \sin t d t$ Select the correct answer. A) $ 1.666$ B) $0.866$ C) $1.866$ D) $1.366$ E) $- 0.134$
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Question

Quizplus · Accepted Answer

We have 
$$\int _ { \pi / 6 } ^ { \pi / 2 } \sin t d t =[-\cos t ]_{\pi/6}^{\pi/2}=\cos(\pi/6)-\cos(\pi/2)=\frac{\sqrt{3}}{2}-0. $$
Therefore, the correct answer is B) $0.866$.

Evaluate the Integral ∫π/6π/2sin⁡tdt\int _ { \pi / 6 } ^ { \pi / 2 } \sin t d t∫π/6π/2​sintdt

Evaluate the Integral $\int _ { \pi / 6 } ^ { \pi / 2 } \sin t d t$