Math virtual assistant

About Snapxam Calculators Topics Go Premium
ENGESP
Go!
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2

e
π
ln
log
lim
d/dx
d/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

\int8x\left(x^2-3\right)^3dx

Integrate x(x^2-3)^3*8

Answer

$\int x^{3}\left(144-48x^2\right)dx+\int x^{5}\left(8x^2-24\right)dx+\int-216xdx+36x^{6}$

Step-by-step explanation

Problem

$\int8x\left(x^2-3\right)^3dx$
1

Apply the rule of the cube of a binomial

$\int8x\left(9-6x^2+\left(x^2\right)^2\right)\left(x^2-3\right)dx$

Unlock this step-by-step solution!

Answer

$\int x^{3}\left(144-48x^2\right)dx+\int x^{5}\left(8x^2-24\right)dx+\int-216xdx+36x^{6}$

Struggling with math?

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