Math virtual assistant

Calculators Topics Go Premium About Snapxam
ENGESP

Step-by-step Solution

Integral of $x\left(2x+5\right)^{10}$

Go
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2

e
π
ln
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

Answer

$\frac{1}{48}\left(2x+5\right)^{12}-\frac{5}{44}\left(2x+5\right)^{11}+C_0$

Step-by-step explanation

Problem to solve:

$\int\:x\:\left(2x+5\right)^{10}dx$
1

Solve the integral $\int x\left(2x+5\right)^{10}dx$ applying u-substitution. Let $u$ and $du$ be

$\begin{matrix}u=2x+5 \\ du=2dx\end{matrix}$
2

Isolate $dx$ in the previous equation

$\frac{du}{2}=dx$

Unlock this step-by-step solution!

Answer

$\frac{1}{48}\left(2x+5\right)^{12}-\frac{5}{44}\left(2x+5\right)^{11}+C_0$
$\int\:x\:\left(2x+5\right)^{10}dx$

Main topic:

Integration by substitution

Used formulas:

7. See formulas

Time to solve it:

~ 0.92 seconds

Struggling with math?

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