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# Solve the trigonometric integral $\int\left(\frac{_3.141592653589793}{2}\right)^{\pi }\sin\left(4x\right)dx$

## Step-by-step Solution

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### Videos

$-\frac{10}{353}_3.141592653589793^{\pi }\cos\left(4x\right)+C_0$
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## Step-by-step Solution

Problem to solve:

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

Specify the solving method

1

Simplifying

$\int\frac{40}{353}_3.141592653589793^{\pi }\sin\left(4x\right)dx$

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

$\int\frac{40}{353}_3.141592653589793^{\pi }\sin\left(4x\right)dx$

Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int((_3.141592653589793/2)^pisin(4x))dx. Simplifying. The integral of a function times a constant (\frac{40}{353}) is equal to the constant times the integral of the function. The integral of a function times a constant (_3.141592653589793^{\pi }) is equal to the constant times the integral of the function. Apply the formula: \int\sin\left(ax\right)dx=-\left(\frac{1}{a}\right)\cos\left(ax\right)+C, where a=4.

$-\frac{10}{353}_3.141592653589793^{\pi }\cos\left(4x\right)+C_0$

### Explore different ways to solve this problem

Basic IntegralsIntegration by SubstitutionIntegration by PartsTabular Integration
SnapXam A2

### beta Got another answer? Verify it!

Go!
1
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0
a
b
c
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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

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

### Main topic:

Trigonometric Integrals

~ 0.05 s