Calculators Topics Go Premium About Snapxam
ENGESP
Topics

Step-by-step Solution

Calculate the integral $\int x\sqrt{x-2}dx$

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:

$\int\:x\sqrt{x-2}dx$

Learn how to solve integrals with radicals problems step by step online.

$\begin{matrix}u=x-2 \\ du=dx\end{matrix}$

Unlock this full step-by-step solution!

Learn how to solve integrals with radicals problems step by step online. Calculate the integral int(x*(x-2)^0.5)dx. Solve the integral \int x\sqrt{x-2}dx applying u-substitution. Let u and du be. Rewriting x in terms of u. Substituting u, dx and x in the integral and simplify. Multiplying polynomials \sqrt{u} and u+2.

Answer

$\frac{2}{5}\sqrt{\left(x-2\right)^{5}}+\frac{4}{3}\sqrt{\left(x-2\right)^{3}}+C_0$

Problem Analysis