Math virtual assistant

Calculators Topics Go Premium About Snapxam
ENGESP

Step-by-step Solution

Integrate $\frac{1}{\left(x+1\right)^{\left(\frac{1}{3}\right)}}$ from $-1$ to $7$

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

$6$

Step-by-step explanation

Problem to solve:

$\int_{-1}^7\left(\frac{1}{\left(X+1\right)^{\frac{1}{3}}}\right)dx$
1

Solve the integral $\int_{-1}^{7}\frac{1}{\sqrt[3]{x+1}}dx$ applying u-substitution. Let $u$ and $du$ be

$\begin{matrix}u=x+1 \\ du=dx\end{matrix}$
2

Substituting $u$ and $dx$ in the integral and simplify

$\int_{-1}^{7}\frac{1}{\sqrt[3]{u}}du$

Unlock this step-by-step solution!

Answer

$6$
$\int_{-1}^7\left(\frac{1}{\left(X+1\right)^{\frac{1}{3}}}\right)dx$

Main topic:

Definite integrals

Used formulas:

3. See formulas

Time to solve it:

~ 0.98 seconds