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# Find the integral $\int-\frac{\sin\left(nx\right)}{n^2}dx$

## Step-by-step Solution

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sinh
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asinh
acosh
atanh
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###  Videos

$\frac{\cos\left(nx\right)}{n^{3}}+C_0$
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##  Step-by-step Solution 

Problem to solve:

$\int-\frac{\sin\left(nx\right)}{n^2}dx$

Specify the solving method

1

Take out the constant $-1$ from the integral

$-\int\frac{\sin\left(nx\right)}{n^2}dx$

Learn how to solve integral calculus problems step by step online.

$-\int\frac{\sin\left(nx\right)}{n^2}dx$

Learn how to solve integral calculus problems step by step online. Find the integral int(-(sin(nx)/(n^2))dx. Take out the constant -1 from the integral. Take the constant \frac{1}{n^2} out of the integral. Multiplying the fraction by -1. We can solve the integral \int\sin\left(nx\right)dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that nx it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.

$\frac{\cos\left(nx\right)}{n^{3}}+C_0$

##  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 integral of -1sinnx/(n^2)dx using basic integralsSolve integral of -1sinnx/(n^2)dx using u-substitutionSolve integral of -1sinnx/(n^2)dx using integration by partsSolve integral of -1sinnx/(n^2)dx using tabular integration

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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

### Main topic:

Integral Calculus

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