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# Integrate the function $x^2+2$ from $-2$ to $2$

## Step-by-step Solution

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asin
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sinh
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asinh
acosh
atanh
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### Videos

$\frac{40}{3}$
Got another answer? Verify it here!

## Step-by-step Solution

Problem to solve:

$\int_{\left(-2\right)}^{2}\left(x^2+2\right)dx$

Specify the solving method

1

Expand the integral $\int_{-2}^{2}\left(x^2+2\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\int_{-2}^{2} x^2dx+\int_{-2}^{2}2dx$

Learn how to solve definite integrals problems step by step online.

$\int_{-2}^{2} x^2dx+\int_{-2}^{2}2dx$

Learn how to solve definite integrals problems step by step online. Integrate the function x^2+2 from -2 to 2. Expand the integral \int_{-2}^{2}\left(x^2+2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{-2}^{2} x^2dx results in: \frac{16}{3}. The integral \int_{-2}^{2}2dx results in: 8. Gather the results of all integrals.

$\frac{40}{3}$
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

$\int_{\left(-2\right)}^{2}\left(x^2+2\right)dx$

### Main topic:

Definite Integrals

~ 0.05 s