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# Find the integral $\int x\sin\left(x\right)dx$

## Step-by-step Solution

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ln
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sin
cos
tan
cot
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asin
acos
atan
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sinh
cosh
tanh
coth
sech
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asinh
acosh
atanh
acoth
asech
acsch

###  Videos

$-x\cos\left(x\right)+\sin\left(x\right)+C_0$
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##  Step-by-step Solution 

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We can solve the integral $\int x\sin\left(x\right)dx$ by applying integration by parts method to calculate the integral of the product of two functions, using the following formula

$\displaystyle\int u\cdot dv=u\cdot v-\int v \cdot du$

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

$\displaystyle\int u\cdot dv=u\cdot v-\int v \cdot du$

Learn how to solve integral calculus problems step by step online. Find the integral int(sin(x)x)dx. We can solve the integral \int x\sin\left(x\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. Solve the integral.

$-x\cos\left(x\right)+\sin\left(x\right)+C_0$

##  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 sinxxdx using basic integralsSolve integral of sinxxdx using u-substitutionSolve integral of sinxxdx using integration by partsSolve integral of sinxxdx using tabular integration

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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

### Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.