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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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θ
=
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>=
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sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

##  Final answer to the problem

$-\cos\left(2\right)+\cos\left(\frac{1}{2}\right)$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Integrate by partial fractions
• Integrate by substitution
• Integrate by parts
• Integrate using tabular integration
• Integrate by trigonometric substitution
• Weierstrass Substitution
• Integrate using trigonometric identities
• Integrate using basic integrals
• Product of Binomials with Common Term
Can't find a method? Tell us so we can add it.
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 integrals of polynomial functions problems step by step online.

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

Learn how to solve integrals of polynomial functions 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. Multiply -1 times -1.

##  Final answer to the problem

$-\cos\left(2\right)+\cos\left(\frac{1}{2}\right)$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SnapXam A2

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7
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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: Integrals of Polynomial Functions

Integrals of polynomial functions.