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

Step-by-step Solution

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Final answer to the problem

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

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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

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

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

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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.

Final answer to the problem

$\frac{199}{3}$

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Function Plot

Plotting: $x^2+10$

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1
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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: Definite Integrals

Given a function f(x) and the interval [a,b], the definite integral is equal to the area that is bounded by the graph of f(x), the x-axis and the vertical lines x=a and x=b

Used Formulas

See formulas (3)

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