Try now NerdPal! Our new app on iOS and Android

# Find the integral $\int\sec\left(\frac{1}{3}\right)xx^2dx$

## Step-by-step Solution

Go!
Math mode
Text mode
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
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

###  Videos

$0.264562x^{4}+C_0$
Got another answer? Verify it here!

##  Step-by-step Solution 

Problem to solve:

$\int\sec\left(\frac{1}{3}\right)xx^2dx$

Specify the solving method

1

Simplify the expression inside the integral

$\int1.058249x^{3}dx$

Learn how to solve integral calculus problems step by step online.

$\int1.058249x^{3}dx$

Learn how to solve integral calculus problems step by step online. Find the integral int(xsec(1/3)x^2)dx. Simplify the expression inside the integral. The integral of a function times a constant (1.058249) is equal to the constant times the integral of the function. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as 3. Take \frac{1.058249}{4} out of the fraction.

$0.264562x^{4}+C_0$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve int(xsec(1/3)x^2)dx using basic integralsSolve int(xsec(1/3)x^2)dx using u-substitutionSolve int(xsec(1/3)x^2)dx using integration by partsSolve int(xsec(1/3)x^2)dx using tabular integration

SnapXam A2

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
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

### Main topic:

Integral Calculus

~ 0.03 s

###  Join 500k+ students in problem solving.

##### Without automatic renewal.
Create an Account