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# Find the integral $\int\frac{1+x^2}{x^2}dx$

## Step-by-step Solution

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###  Videos

$\frac{1}{-x}+x+C_0$
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##  Step-by-step Solution 

Problem to solve:

$\int\frac{1+x^2}{x^2}dx$

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1

Expand the fraction $\frac{1+x^2}{x^2}$ into $2$ simpler fractions with common denominator $x^2$

$\int\left(\frac{1}{x^2}+\frac{x^2}{x^2}\right)dx$

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

$\int\left(\frac{1}{x^2}+\frac{x^2}{x^2}\right)dx$

Learn how to solve differential calculus problems step by step online. Find the integral int((1+x^2)/(x^2))dx. Expand the fraction \frac{1+x^2}{x^2} into 2 simpler fractions with common denominator x^2. Simplify the resulting fractions. Expand the integral \int\left(\frac{1}{x^2}+1\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{x^2}dx results in: \frac{1}{-x}.

$\frac{1}{-x}+x+C_0$

##  Explore different ways to solve this problem

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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:

Differential Calculus

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