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# Integrate the function $x^2+10$ from $7$ to $8$

## Step-by-step Solution

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###  Videos

$\frac{199}{3}$
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##  Step-by-step Solution 

Problem to solve:

$\int_{7}^{8}\left(x^2+10\right)dx$

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1

Expand the integral $\int_{7}^{8}\left(x^2+10\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\int_{7}^{8} x^2dx+\int_{7}^{8}10dx$

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

$\int_{7}^{8} x^2dx+\int_{7}^{8}10dx$

Learn how to solve definite integrals problems step by step online. Integrate the function x^2+10 from 7 to 8. Expand the integral \int_{7}^{8}\left(x^2+10\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{7}^{8} x^2dx results in: \frac{169}{3}. The integral \int_{7}^{8}10dx results in: 10. Gather the results of all integrals.

$\frac{199}{3}$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve int(x^2+10)dx&7&8 using partial fractionsSolve int(x^2+10)dx&7&8 using basic integralsSolve int(x^2+10)dx&7&8 using u-substitutionSolve int(x^2+10)dx&7&8 using integration by partsSolve int(x^2+10)dx&7&8 using trigonometric substitution

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7
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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

### Main topic:

Definite Integrals

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