$\int_{0}^{2}3x^2dx$

Step-by-step Solution

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Final answer to the problem

$3\cdot \left(\frac{2^{3}}{3}- \frac{0^{3}}{3}\right)$
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Step-by-step Solution

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Apply the formula: $\int_{a}^{b} cxdx$$=c\int_{a}^{b} xdx$, where $a=0$, $b=2$, $c=3$ and $x=x^2$

$3\int_{0}^{2} x^2dx$

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$3\int_{0}^{2} x^2dx$

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Learn how to solve intégrales définies problems step by step online. int(3x^2)dx&0&2. Apply the formula: \int_{a}^{b} cxdx=c\int_{a}^{b} xdx, where a=0, b=2, c=3 and x=x^2. Apply the formula: \int x^ndx=\frac{x^{\left(n+1\right)}}{n+1}+C, where n=2. Apply the formula: \left[x\right]_{a}^{b}=eval\left(x,b\right)-eval\left(x,a\right)+C, where a=0, b=2 and x=\frac{x^{3}}{3}.

Final answer to the problem

$3\cdot \left(\frac{2^{3}}{3}- \frac{0^{3}}{3}\right)$

Exact Numeric Answer

$8$

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Function Plot

Plotting: $3x^2$

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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

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