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# Integrate the function $x^2+5x+6$ from $2$ to $4$

## Step-by-step Solution

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###  Solution

$\frac{182}{3}$
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##  Step-by-step Solution 

Problem to solve:

$\int_{2}^{4}\left(x^2+5x+6\right)dx$

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1

Expand the integral $\int_{2}^{4}\left(x^2+5x+6\right)dx$ into $3$ integrals using the sum rule for integrals, to then solve each integral separately

$\int_{2}^{4} x^2dx+\int_{2}^{4}5xdx+\int_{2}^{4}6dx$

Learn how to solve problems step by step online.

$\int_{2}^{4} x^2dx+\int_{2}^{4}5xdx+\int_{2}^{4}6dx$

Learn how to solve problems step by step online. Integrate the function x^2+5x+6 from 2 to 4. Expand the integral \int_{2}^{4}\left(x^2+5x+6\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{2}^{4} x^2dx results in: \frac{56}{3}. The integral \int_{2}^{4}5xdx results in: 30. The integral \int_{2}^{4}6dx results in: 12.

$\frac{182}{3}$

##  Explore different ways to solve this problem

SnapXam A2

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x
y
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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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