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Find the integral $\int2xx^2dx$

Step-by-step Solution

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asin
acos
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acot
asec
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sinh
cosh
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coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Final Answer

$\frac{1}{2}x^{4}+C_0$
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Step-by-step Solution

Problem to solve:

$\int x\cdot\left(2x^2+\right)dx$

Specify the solving method

1

When multiplying exponents with same base you can add the exponents: $2xx^2$

$\int2x^{3}dx$

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

$\int2x^{3}dx$

Unlock the first 2 steps of this solution!

Learn how to solve integral calculus problems step by step online. Find the integral int(x2x^2)dx. When multiplying exponents with same base you can add the exponents: 2xx^2. The integral of a function times a constant (2) 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. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.

Final Answer

$\frac{1}{2}x^{4}+C_0$
SnapXam A2
Answer Assistant

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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

Useful tips on how to improve your answer:

$\int x\cdot\left(2x^2+\right)dx$

Main topic:

Integral Calculus

Used formulas:

2. See formulas

Time to solve it:

~ 0.03 s