Step-by-step Solution

Integrate $x^3-x^2-2x$ from $0$ to $2$

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:

$\int_{0}^{2}\left(x^3-x^2-2x\right)dx$

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

$\int_{0}^{2} x^3dx+\left(\int_{0}^{2}-x^2dx+\int_{0}^{2}-2xdx\right)$

Unlock this full step-by-step solution!

Learn how to solve definite integrals problems step by step online. Integrate x^3-x^2-2x from 0 to 2. Simplifying. The integral \int_{0}^{2} x^3dx results in: 4. The integral \left(\int_{0}^{2}-x^2dx+\int_{0}^{2}-2xdx\right) results in: -2.6667. Gather the results of all integrals.

Final Answer

$-\frac{8}{3}$$\,\,\left(\approx -2.6666666666666665\right)$

Problem Analysis

$\int_{0}^{2}\left(x^3-x^2-2x\right)dx$

Main topic:

Definite integrals

Related formulas:

3. See formulas

Time to solve it:

~ 0.11 seconds