👉 Try now NerdPal! Our new math app on iOS and Android
  1. calculators
  2. Improper Integrals

Improper Integrals Calculator

Get detailed solutions to your math problems with our Improper Integrals step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here.

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

1

Qui vi mostriamo un esempio di soluzione passo-passo di integrali impropri. Questa soluzione è stata generata automaticamente dalla nostra calcolatrice intelligente:

$\int_0^{\infty}\left(\frac{1}{1+x^2}\right)dx$
2

Applicare la formula: $\int\frac{n}{x^2+b}dx$$=\frac{n}{\sqrt{b}}\arctan\left(\frac{x}{\sqrt{b}}\right)+C$, dove $b=1$ e $n=1$

$\arctan\left(x\right)$
3

Aggiungere i limiti iniziali di integrazione

$\left[\arctan\left(x\right)\right]_{0}^{\infty }$
4

Applicare la formula: $\left[x\right]_{a}^{b}$$=\lim_{c\to b}\left(\left[x\right]_{a}^{c}\right)+C$, dove $a=0$, $b=\infty $ e $x=\arctan\left(x\right)$

$\lim_{c\to\infty }\left(\left[\arctan\left(x\right)\right]_{0}^{c}\right)$
5

Applicare la formula: $\left[x\right]_{a}^{b}$$=eval\left(x,b\right)-eval\left(x,a\right)+C$, dove $a=0$, $b=c$ e $x=\arctan\left(x\right)$

$\lim_{c\to\infty }\left(\arctan\left(c\right)-\arctan\left(0\right)\right)$

Applicare l'identità trigonometrica: $\arctan\left(\theta \right)$$=\arctan\left(\theta \right)$, dove $x=0$

$\lim_{c\to\infty }\left(\arctan\left(c\right)- 0\right)$

Applicare la formula: $ab$$=ab$, dove $ab=- 0$, $a=-1$ e $b=0$

$\lim_{c\to\infty }\left(\arctan\left(c\right)+0\right)$

Applicare la formula: $x+0$$=x$, dove $x=\arctan\left(c\right)$

$\lim_{c\to\infty }\left(\arctan\left(c\right)\right)$

Applicare la formula: $\lim_{\theta \to\infty }\left(\arctan\left(\theta \right)\right)$$=\frac{\pi }{2}$, dove $x=c$

$\frac{\pi }{2}$
6

Valutare i limiti risultanti dell'integrale

$\frac{\pi }{2}$

Final answer to the problem

$\frac{\pi }{2}$

Are you struggling with math?

Access detailed step by step solutions to thousands of problems, growing every day!