👉 Try now NerdPal! Our new math app on iOS and Android

Find the integral $\int\frac{1}{\left(10^{-131}+x\right)^2}dx$

Step-by-step Solution

Go!
Symbolic mode
Text mode
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

Final answer to the problem

$\frac{\arctan\left(\frac{x}{\sqrt{10^{-262}+2\cdot 10^{-131}x}}\right)}{\sqrt{10^{-262}+2\cdot 10^{-131}x}}+C_0$
Got another answer? Verify it here!

Step-by-step Solution

How should I solve this problem?

  • Choose an option
  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Integrate using trigonometric identities
  • Integrate using basic integrals
  • Product of Binomials with Common Term
  • Load more...
Can't find a method? Tell us so we can add it.
1

Expand the expression $\left(10^{-131}+x\right)^2$ using the square of a binomial: $(a+b)^2=a^2+2ab+b^2$

$\int\frac{1}{10^{-262}+2\cdot 10^{-131}x+x^{2}}dx$

Learn how to solve integrals of rational functions problems step by step online.

$\int\frac{1}{10^{-262}+2\cdot 10^{-131}x+x^{2}}dx$

Unlock unlimited step-by-step solutions and much more!

Create a free account and unlock a glimpse of this solution.

Learn how to solve integrals of rational functions problems step by step online. Find the integral int(1/((10^(-131)+x)^2))dx. Expand the expression \left(10^{-131}+x\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2. Solve the integral by applying the formula \displaystyle\int\frac{x'}{x^2+a^2}dx=\frac{1}{a}\arctan\left(\frac{x}{a}\right). Multiply the fraction by the term . As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.

Final answer to the problem

$\frac{\arctan\left(\frac{x}{\sqrt{10^{-262}+2\cdot 10^{-131}x}}\right)}{\sqrt{10^{-262}+2\cdot 10^{-131}x}}+C_0$

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

Help us improve with your feedback!

Function Plot

Plotting: $\frac{\arctan\left(\frac{x}{\sqrt{10^{-262}+2\cdot 10^{-131}x}}\right)}{\sqrt{10^{-262}+2\cdot 10^{-131}x}}+C_0$

SnapXam A2
Answer Assistant

beta
Got a different 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

How to improve your answer:

Main Topic: Integrals of Rational Functions

Integrals of rational functions of the form R(x) = P(x)/Q(x).

Your Personal Math Tutor. Powered by AI

Available 24/7, 365.

Complete step-by-step math solutions. No ads.

Prepare for your math exams in less time.

Includes multiple solving methods.

Support for more than 100 math topics.

Premium access on our iOS and Android apps.

Choose your plan. Cancel Anytime.
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.

Create an Account