Step-by-step Solution

Calculate the integral of $\int\left(x^2-4x+4\right)^{\frac{4}{3}}dx$

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:

$\int\left(X^2-4X+4\right)^{\frac{4}{3}}dx$

Learn how to solve calculus problems step by step online.

$\Delta=b^2-4ac=-4^2-4\left(1\right)\left(4\right) = 0$

Unlock this full step-by-step solution!

Learn how to solve calculus problems step by step online. Calculate the integral of int((x^2-4*x+4)^((4/3)))dx. The trinomial x^2-4x+4 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial. Applying the power of a power property.

Final Answer

$\frac{3}{11}\sqrt[3]{\left(x-2\right)^{11}}+C_0$

Problem Analysis

$\int\left(X^2-4X+4\right)^{\frac{4}{3}}dx$

Main topic:

Calculus

Time to solve it:

~ 0.08 seconds