Math virtual assistant

Calculators Topics Go Premium About Snapxam
ENGESP

Step-by-step Solution

Integral of (6x)/((5+3x^2)^4)

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

Answer

$\frac{1}{-3\left(5+3x^2\right)^{3}}+C_0$

Step-by-step explanation

Problem to solve:

$\int\left(\frac{6x}{\left(5+3x^2\right)^4}\right)dx$
1

Taking the constant out of the integral

$6\int\frac{x}{\left(5+3x^2\right)^4}dx$
2

Solve the integral $\int\frac{x}{\left(5+3x^2\right)^4}dx$ applying u-substitution. Let $u$ and $du$ be

$\begin{matrix}u=5+3x^2 \\ du=6xdx\end{matrix}$

Unlock this step-by-step solution!

Answer

$\frac{1}{-3\left(5+3x^2\right)^{3}}+C_0$

Struggling with math?

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

$\int\left(\frac{6x}{\left(5+3x^2\right)^4}\right)dx$

Main topic:

Integration by substitution

Used formulas:

5. See formulas

Time to solve it:

~ 0.83 seconds