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

Step-by-step Solution

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asin
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sinh
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asinh
acosh
atanh
acoth
asech
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$x\sin\left(x\right)+\cos\left(x\right)+C_0$
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Step-by-step Solution

Problem to solve:

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

Specify the solving method

1

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

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

Learn how to solve integration by parts problems step by step online.

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

Learn how to solve integration by parts 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.

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

Explore different ways to solve this problem

Basic IntegralsIntegration by SubstitutionIntegration by PartsTabular Integration
SnapXam A2

beta Got another answer? Verify it!

Go!
1
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

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

Main topic:

Integration by Parts

~ 0.06 s