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

## Step-by-step Solution

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sinh
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tanh
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asinh
acosh
atanh
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asech
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###  Videos

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

Problem to solve:

$\int x\sin\left(x\right)dx$

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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(xsin(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 int(xsin(x))dx using basic integralsSolve int(xsin(x))dx using u-substitutionSolve int(xsin(x))dx using integration by partsSolve int(xsin(x))dx using tabular integration

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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:

Integral Calculus

~ 0.04 s

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