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# Integrate the function $\cos\left(x\right)^2$ from $1$ to $3$

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sinh
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asinh
acosh
atanh
acoth
asech
acsch

##  Final answer to the problem

$0.7028218$
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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

Rewrite the trigonometric expression $\cos\left(x\right)^2$ inside the integral

$\int_{1}^{3}\frac{1+\cos\left(2x\right)}{2}dx$

Learn how to solve problems step by step online.

$\int_{1}^{3}\frac{1+\cos\left(2x\right)}{2}dx$

Learn how to solve problems step by step online. Integrate the function cos(x)^2 from 1 to 3. Rewrite the trigonometric expression \cos\left(x\right)^2 inside the integral. Take the constant \frac{1}{2} out of the integral. Simplify the expression inside the integral. The integral of a constant is equal to the constant times the integral's variable.

##  Final answer to the problem

$0.7028218$

##  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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3
4
5
6
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