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

Step-by-step Solution

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$\frac{40}{3}$
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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

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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:

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

Main topic:

Definite Integrals

~ 0.05 s