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Integrate the function $12x$ from $4$ to $8$

Step-by-step Solution

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asinh
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$288$
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Step-by-step Solution

Problem to solve:

$\int_{4}^{8}12xdx$

Specify the solving method

1

The integral of a constant times a function is equal to the constant multiplied by the integral of the function

$12\int_{4}^{8} xdx$

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

$12\int_{4}^{8} xdx$

Learn how to solve definite integrals problems step by step online. Integrate the function 12x from 4 to 8. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, in this case n=1. Evaluate the definite integral. Simplifying.

$288$
SnapXam A2

beta Got another answer? Verify it!

Go!
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

$\int_{4}^{8}12xdx$

Main topic:

Definite Integrals

~ 0.03 s