# Step-by-step Solution

Go!
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## Step-by-step Solution

Problem to solve:

$\int x\cdot\cos\left(x\right)dx$

Solving method

Learn how to solve calculus problems step by step online.

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

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

## Final Answer

$x\sin\left(x\right)+\cos\left(x\right)+C_0$
SnapXam A2
Answer Assistant

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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

### Tips on how to improve your answer:

$\int x\cdot\cos\left(x\right)dx$

Calculus

~ 0.45 s