# Step-by-step Solution

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
|◻|
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

## Step-by-step explanation

Problem to solve:

$\int\frac{\cos\left(x\right)}{x}dx$

Learn how to solve calculus problems step by step online.

$\int\frac{\sum_{n=0}^{\infty } x^{2n}\frac{{\left(-1\right)}^n}{\left(2n\right)!}}{x}dx$

Learn how to solve calculus problems step by step online. Integrate int(((cos(x)/x))dx with respect to x. Rewrite the function \cos\left(x\right) as it's representation in Maclaurin series expansion. Rewriting the exponent. Applying the power of a power property. Bring the denominator x inside the power serie.

$\sum_{n=0}^{\infty } \frac{{\left(-1\right)}^n}{\left(2n\right)!}\frac{x^{2n}}{2n}+C_0$

### Problem Analysis

$\int\frac{\cos\left(x\right)}{x}dx$

Calculus

~ 0.11 seconds