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

Step-by-step Solution

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asin
acos
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sinh
cosh
tanh
coth
sech
csch

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?

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  • 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
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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.

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

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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

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Function Plot

Plotting: $\cos\left(x\right)^2$

SnapXam A2
Answer Assistant

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Go!
1
2
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

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