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# Find the integral $\int2\cdot \frac{1}{2}xx^2dx$

## Step-by-step Solution

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###  Videos

$\frac{x^{4}}{4}+C_0$
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##  Step-by-step Solution 

Problem to solve:

$\int2\cdot \frac{1}{2}xx^2dx$

Specify the solving method

1

Simplifying

$\int x\cdot x^2dx$

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

$\int x\cdot x^2dx$

Learn how to solve integral calculus problems step by step online. Find the integral int(2x*1/2x^2)dx. Simplifying. When multiplying exponents with same base you can add the exponents: x\cdot x^2. 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.

$\frac{x^{4}}{4}+C_0$

##  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(2x*1/2x^2)dx using partial fractionsSolve int(2x*1/2x^2)dx using basic integralsSolve int(2x*1/2x^2)dx using u-substitutionSolve int(2x*1/2x^2)dx using integration by partsSolve int(2x*1/2x^2)dx using trigonometric substitution

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0
a
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m
n
u
v
w
x
y
z
.
(◻)
+
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×
◻/◻
/
÷
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

~ 0.02 s

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