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

## Step-by-step Solution

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### Videos

$0.264562x^{4}+C_0$
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## Step-by-step Solution

Problem to solve:

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

Specify the solving method

1

Simplifying

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

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. Simplifying. 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

Basic IntegralsIntegration by SubstitutionIntegration by PartsTabular Integration
SnapXam A2

### beta Got another answer? Verify it!

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

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

### Main topic:

Integral Calculus

~ 0.03 s