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Integrate the function $\sin\left(4x\right)$ from $\frac{\pi }{2}$ to $\pi $

Step-by-step Solution

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e
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ln
log
log
lim
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>
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>=
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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

$\frac{1}{167}$
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Step-by-step Solution

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$\int_{\frac{\pi}{2}}^{\pi }\sin\left(4x\right)dx$

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$\int_{\frac{\pi}{2}}^{\pi }\sin\left(4x\right)dx$

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Learn how to solve definite integrals problems step by step online. Integrate the function sin(4x) from pi/2 to pi. Simplifying. We can solve the integral \int\sin\left(4x\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du. Now, identify dv and calculate v.

Final Answer

$\frac{1}{167}$

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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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Plotting: $\sin\left(4x\right)$

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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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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

Used Formulas

7. See formulas

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