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# Integrate the function $\sin\left(x\right)$ from $\frac{1}{2}$ to $2$

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e
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ln
log
log
lim
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sin
cos
tan
cot
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asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

##  Final Answer

$1.29373$
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##  Step-by-step Solution 

Specify the solving method

1

Apply the integral of the sine function: $\int\sin(x)dx=-\cos(x)$

$\left[-\cos\left(x\right)\right]_{\frac{1}{2}}^{2}$

Learn how to solve definite integrals problems step by step online.

$\left[-\cos\left(x\right)\right]_{\frac{1}{2}}^{2}$

Learn how to solve definite integrals problems step by step online. Integrate the function sin(x) from 1/2 to 2. Apply the integral of the sine function: \int\sin(x)dx=-\cos(x). Evaluate the definite integral. Simplify the expression inside the integral.

##  Final Answer

$1.29373$

##  Explore different ways to solve this problem

SnapXam A2

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5
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7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

### Main Topic: Definite Integrals

Given a function f(x) and the interval [a,b], the definite integral is equal to the area that is bounded by the graph of f(x), the x-axis and the vertical lines x=a and x=b

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