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# Integrate the function $\cos\left(x\right)$ from 0 to $\left(\frac{\pi }{2}\right)^5$

## Step-by-step Solution

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e
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ln
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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

###  Videos

$-0.137896$
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##  Step-by-step Solution 

Problem to solve:

$\int_{0}^{\left(\frac{\pi }{2}\right)^5}\cos\left(x\right)dx$

Specify the solving method

1

Simplifying

$\int_{0}^{\left(\frac{\pi}{2}\right)^5}\cos\left(x\right)dx$

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

$\int_{0}^{\left(\frac{\pi}{2}\right)^5}\cos\left(x\right)dx$

Learn how to solve definite integrals problems step by step online. Integrate the function cos(x) from 0 to (pi/2)^5. Simplifying. Calculate the power \left(\frac{\pi}{2}\right)^5. Apply the integral of the cosine function: \int\cos(x)dx=\sin(x). Evaluate the definite integral.

$-0.137896$

##  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

Solve int(cos(x))dx&0&(pi/2)^5 using basic integralsSolve int(cos(x))dx&0&(pi/2)^5 using u-substitutionSolve int(cos(x))dx&0&(pi/2)^5 using integration by partsSolve int(cos(x))dx&0&(pi/2)^5 using tabular integrationSolve int(cos(x))dx&0&(pi/2)^5 using weierstrass substitution

SnapXam A2

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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

~ 0.02 s

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