Step-by-step Solution

Integrate $\frac{1}{\sqrt{5-x}}$ from $-5$ to $5$

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:

$\int_{-5}^{5}\frac{1}{\sqrt{5-x}}dx$

Learn how to solve definite integrals problems step by step online.

$\lim_{c\to5}\:\int_{-5}^{c}\frac{1}{\sqrt{5-x}}dx$

Unlock this full step-by-step solution!

Learn how to solve definite integrals problems step by step online. Integrate 1/((5-x)^0.5) from -5 to 5. Replace the integral's limit by a finite value. Solve the integral \int_{-5}^{c}\frac{1}{\sqrt{5-x}}dx applying u-substitution. Let u and du be. Isolate dx in the previous equation. Substituting u and dx in the integral and simplify.

Final Answer

$6.3246$

Problem Analysis

$\int_{-5}^{5}\frac{1}{\sqrt{5-x}}dx$

Main topic:

Definite integrals

Related formulas:

2. See formulas

Time to solve it:

~ 0.11 seconds