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Integrate the function $2x+5$ from $1$ to $2$

Step-by-step Solution

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Final Answer

$8$
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Step-by-step Solution

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Expand the integral $\int_{1}^{2}\left(2x+5\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\int_{1}^{2}2xdx+\int_{1}^{2}5dx$

Learn how to solve power of a product problems step by step online.

$\int_{1}^{2}2xdx+\int_{1}^{2}5dx$

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Learn how to solve power of a product problems step by step online. Integrate the function 2x+5 from 1 to 2. Expand the integral \int_{1}^{2}\left(2x+5\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{1}^{2}2xdx results in: 3. The integral \int_{1}^{2}5dx results in: 5. Gather the results of all integrals.

Final Answer

$8$

Exact Numeric Answer

$8$

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Function Plot

Plotting: $2x+5$

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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

How to improve your answer:

Main Topic: Power of a product

The power of a product of factors is equal to the product of each factor to the same power: $\left(b\cdot c\right)^n=b^n\cdot c^n$.

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