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# Integrate the function $-161+x^2$ from 0 to $2$

## Step-by-step Solution

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###  Solution

$-\frac{958}{3}$
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##  Step-by-step Solution 

Problem to solve:

$\int_{0}^{2}\left(-161+x^2\right)dx$

Specify the solving method

1

Expand the integral $\int_{0}^{2}\left(-161+x^2\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\int_{0}^{2}-161dx+\int_{0}^{2} x^2dx$

Learn how to solve problems step by step online.

$\int_{0}^{2}-161dx+\int_{0}^{2} x^2dx$

Learn how to solve problems step by step online. Integrate the function -161+x^2 from 0 to 2. Expand the integral \int_{0}^{2}\left(-161+x^2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{2}-161dx results in: -322. The integral \int_{0}^{2} x^2dx results in: \frac{8}{3}. Gather the results of all integrals.

$-\frac{958}{3}$

##  Explore different ways to solve this problem

SnapXam A2

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a
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u
v
w
x
y
z
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(◻)
+
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◻/◻
/
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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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